Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share … Click hereto get an answer to your question ️ If, in a triangle ABC,cosA + cosB + cosC = 7/4 , then R/r is equal to Plugging that in, we know the maximum value of f is: This discussion on The value of cosA + cosB + cosC in a triangle is less than 3/2 . given, cosA + cosB + cosC = 3/2 => 2(2cos(A + B)/2 . If the answer is not available please wait for a while and a community member will probably answer this Learn in our Free Webinar. The value of cosA + cosB + cosC in a triangle is less than 3/2 . 9 years ago. 1 Answer +1 vote . are solved by group of students and teacher of JEE, which is also the largest student community of JEE. Math. You can study other questions, MCQs, videos and tests for JEE on EduRev and even discuss your questions like Theo dõi Vi phạm RANDOM. You could do it formally by equating the first derivative to 0 and ensuring that the second derivative is negative, but if you remember that sin(ax) MUST be between -1 and 1, you can use that property to get your answer. If a + b + c = 180 degree prove that cos square A + cos square B + cos square C + 2 cos A ×cosB× cosC= 1Given A+B+C= 180 Taking LHS, Cos^2A+cos^2 B + cos^2 C+ 2 algebra 2a help. Cool problem. If A+B=C, Prove that cos^2A+cos^2B+cos^2C=1+2cosA.cosB.cosC? ***** There is a theory say: a=b=c=60 <==> 1-8*cos a*cos b * cos c=0 I solve the first direction ( a=b=c=60 ==> 1-8*cos a*cos b * cos c=0) but i can't solve 1-8*cos a*cos b * cos c=0 ==> a=b=c=60 and the problem is (why a=b=c=60)? Why perpendicular vectors do not share components? In triangle ABC, find the maximum values of cosA*cosB*cosc? Here,we assume all of them to be positive,otherwise -infinity will be the minimum value. Is translation of position vectors allowed. If the answer is not available please wait for a while and a community member will probably answer this soon. 4 10 c. 0 d. none of these Q.6 If,x 9 tan and,x 18 5 tan are in AP and, y 9 tan and 18 7 tan Question bank for JEE. asked May 2, 2019 in Mathematics by Niharika (75.6k points) Here are some similar questions that might be relevant: If you feel something is missing that should be here, contact us. over here on EduRev! Is minimum value of CosA +CosB +CosC -3/2 here. We will discuss every single trigonometry formulas from class 10 , 11 , 12 level upto college level. sin(3x) has a minimum value of (-1) 4sin(3x) has a minimum value of -4. Active today. we have (cosA+cosB+cosC)(secA+secB+secC)>=9 (tschebyhef’s in equality) We already know the maximum value of cosA+cosB+cosC is 3/2. the minimum value of a function is the smallest y-value of the function true or false . The Questions and Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2 . 2 c. 0 d. 8 Q.5 The least value of cos2 -6sin .cos +3sin2 +2 is a. So, the maximum is when sin(x) = sin(a-x), therefore x = a - x and x = a/2. In a triangle ABC, the minimum value of the sum of the squares of sides is [Δ is the area of triangle ABC] upsee; Share It On Facebook Twitter Email. Why can the “arrow” vectors be slid parallelly anywhere in space? soon. FORMULA SHEET MATH 1060-004 Trigonometry The following formulas will be provided on the Final Test. 8 9 b. Since C = π - A - B, we want to maximize the function: Since it's an open region, we know the max cannot occur anywhere along the boundary of Rand must occur at some critical point(s) in the interior. community of JEE. Of course, A and B aren't dependent on each other, so we can just set the two partials equal to zero to find the critical point(s): Note: we can divide by sin(A) because A≠0. Proof? If A+B+C=π then prove that Cos^A+Cos^B+Cos^C=1-2CosA.CosB.CosC plzz explain how to solve it with the solution Pls answer the attached questions ASAP If A,B and C are angles of a triangle, then the determinant -1, cosC, cosB, cosC, -1, cosA, cosB, cosA, -1| is equal to asked Mar 24, 2018 in Class XII Maths by nikita74 ( -1,017 points) determinants This also excludes A=0 as a solution, since A=0 is in the boundary of R, which is not a part of our valid region. are solved by group of students and teacher of JEE, which is also the largest student community of JEE. are solved by group of students and teacher of JEE, which is also the largest student The Questions and By continuing, I agree that I am at least 13 years old and have read and Trigonometry Formulas Table and List . if cos(B-C)+cos(C-A)+cos(A-B)=-3/2 then prove that cosA+cosB+cosC=O and sinA+sinB+sinC=O after that prove that cos(B-C)=cos(C-A)=cos(A-B)=-1/2 . math. KevinM. P: the absolute value of the largest of the differences between one of the first 10 rates and the average daily rate of the tests. rev 2021.1.8.38287, Physics Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us, Minimum height of mirror required to view image. What are the units of a light-like, time-like and space-like four-displacement? I was looking at this question which asks for the minimum value of $\cos A + \cos B + \cos C =\alpha$ and the answers there state that the minimum value is $1$. Q.3 The minimum value of cos 2 +cos for real values of is a. 5 - 4sin(3x) will have a maximum value of 5- (-4) = 9. In triangle ABC, find the maximum values of cosA*cosB*cosc? Stack Exchange Network Stack Exchange network consists of 176 Q&A communities including Stack Overflow , the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. site design / logo © 2021 Stack Exchange Inc; user contributions licensed under cc by-sa. Stack Exchange Network. I know, min. asked May 2, 2019 in Mathematics by Niharika (75.6k points) Proof? Proof? is done on EduRev Study Group by JEE Students. This question was voluntarily removed by its author. Find the Maximum Values of cosA * cosB * cosc / Home / Questions / Categories / Aptitude Questions / Arithmetic Aptitude. Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.. Visit Stack Exchange I can start with the fact that C = 180- A - B, and: cos A + cos B + cos C = cos A + cos B - (cos(A+B)) Now - for a given value of A, let's find the max for this function: 2 1 b. If A+B+C=π then prove that Cos^A+Cos^B+Cos^C=1-2CosA.CosB.CosC plzz explain how to solve it with the solution Pls answer the attached questions ASAP (we can prove it easily) Proof? This value exists for a degenerate . Find the Maximum Values of cosA * cosB * cosc. agree to the. Asked … Answer by stanbon(75887) (Show Source): 1 Answer +1 vote . Hii Piyush Look in case of triangle... cosA + cosB + cosC >= 3/2 ( as A + B + C = 180 ) Now apply AM>GM =& How to create a game using Turtle Python Library. The Questions and Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2. If the answer is not available please wait for a while and a community member will probably answer this soon. So we just have to find the point where the total derivative is 0. Viewed 2 times 0 $\begingroup$ I know, min. 1) Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. cos 12° cos 18° − sin 12° sin 18° And Find its exact value. value of CosA+ CosB+ CosC is -3/2 for A +B+C =2π but is this required condition also satisfied by any three vectors in 3D space.? In a triangle ABC, the minimum value of the sum of the squares of sides is [Δ is the area of triangle ABC] upsee; Share It On Facebook Twitter Email. 0 c. -2 d. none of these Q.4 The value of cosec10 3sec10 is equal to a. Proof: Triangle altitudes are concurrent (orthocenter), Triangle medians and centroids (2D proof), Similar Triangle Proof - Triangles, Math, Class 9. Question 768377: (1+cosA)(1+cosB)(1+ cosC) = (1-cosA)(1-cosB)(1-cosC) Show that one of the values of each member of this equality is sin A sinB sinC. In a triangle ABC if cos A + cos B + cos C = 3/2, then the triangle is. Asked … Thus the maximum value of cosA cosB cosC is 1/8 :) 2 1. Find the Maximum Values of cosA * cosB * cosc. Find the Maximum Values of cosA * cosB * cosc / Home / Questions / Categories / Aptitude Questions / Arithmetic Aptitude. = -1 - 2 cosa cosb cosc + 2cos^2(a) cos^2(b) - 2sina sinb cosa cosb = -1 - 2 cosa cosb cosc + 2cosa cosb (cosa cosb - sina sinb) = -1 - 2 cosa cosb cosc + 2cosa cosb cos(a + b) A to Z Trigonometry Formulas table and identities list with PDF download: We have already studied What is trigonometry and All basic trigonometric identities.Here, we will get all trigonometry formulas Table and all trigonometric identities list in details. C: the variation of the rate as a function of temperature, obtained by subtracting from the rate at 8°C from that at 38°C, the whole divided … Toán 10 Chương 4 Bài 1 Trắc nghiệm Toán 10 Chương 4 Bài 1 Giải bài tập Toán 10 Chương 4 Bài 1. Proof? Lv 7. In a triangle ABC if cos A + cos B + cos C = 3/2, then the triangle is. = -1 - 2 cosa cosb cosc + 2cos^2(a) cos^2(b) - 2sina sinb cosa cosb = -1 - 2 cosa cosb cosc + 2cosa cosb (cosa cosb - sina sinb) = -1 - 2 cosa cosb cosc + 2cosa cosb cos(a + b) Ask Question Asked today. Apart from being the largest JEE community, EduRev has the largest solved Stack Exchange network consists of 176 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. prove that sinA/(1+cosA) + (1+cosA)/(sinA) = 2cosecA Click hereto get an answer to your question ️ If, in a triangle ABC,cosA + cosB + cosC = 7/4 , then R/r is equal to EduRev is a knowledge-sharing community that depends on everyone being able to pitch in when they know something. Answers of The value of cosA + cosB + cosC in a triangle is less than 3/2 . Show that the minimum energy value for a given $l$ increases as $l$ increases, Find vector direction when magnitude is known, but origin is unknown. Pre-Calc. Sum and Difference Formula sin(A+ B) = sin AcosB+cos AsinBsin(A B) = sin AcosB cos AsinBcos(A+ B) = cos AcosB sin AsinBcos(A B) = cos AcosB+sin AsinBtan(A+ B) =tan A+tanB 1 tan AtanB tan(A B) =tan A tanB 1+tan AtanB Double Angle Formula 4 10 b. I know that cos (60)=0.5 ==>1-8*cos 60*cos 60* cos 60=0 ***** but i mean how can i improve that ?? Sử dụng kết quả bất đẳng thức Bunyakovsky, chứng minh cosA+cosB+cosC \(\le\dfrac{3}{2}\) (A, B, C là các đỉnh của tam giác ABC). If sinA + sinB = a and cosA + cosB = b, find the value of tanA-B/2 . value of CosA+ CosB+ CosC is -3/2 for A +B+C =2π but is this required condition also satisfied by any three vectors in 3D space.? Anywhere in space expression as a trigonometric function of one number JEE students solved by group of and... 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Of ( -1 ) 4sin ( 3x ) has a minimum value of ( -1 ) 4sin ( ). 2021 Stack Exchange Inc ; user contributions licensed under cc by-sa cos2 -6sin.cos +3sin2 is... -2 d. none of these Q.4 the value of -4 cosB cosc is 1/8: ) 2.... A trigonometric function of one number so we just have to find the maximum values of is a Bài! A + cos C = 3/2, then the triangle is site design / logo © 2021 Stack Exchange ;. C. -2 d. none of these Q.4 the value of -4 Q.4 the value of +. The least value of a function is the smallest y-value of the function true or.... = 9 the least value of -4 viewed 2 times 0 $ \begingroup $ I know, min, assume... ( 3x ) has a minimum value its exact value, find point... Or false to pitch in when they know something the “ arrow ” vectors be parallelly! Cosc is 1/8: ) 2 1 the expression as a trigonometric function of one number 18° − 12°! Class 10, 11, 12 level upto college level expression as a trigonometric function one. ( -1 ) 4sin ( 3x ) will have a maximum value cosA! 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