LHS=(cosA+cosB)2+(sinA+sinB)2 =(2cos(A+B)2cos2(A+B)2+sin2(A+B)2) =4cos2(A−B)2(1) =4cos2(A−B)2=RHS Hence Proved. | ShareSave Class 11MATHSTRIGONOMETRIC FUNCTIONS Topper's Solved these Questions TRIGNOMETRIC FUNCTIONSBook:NAGEEN PRAKASHAN ENGLISHChapter:TRIGNOMETRIC FUNCTION...
{eq}sin(A+B)=sinAcosB+sinBcosA \\\ cos(A+B)= cosAcosB-sinAsinB {/eq}Answer and Explanation: First, let's figure out sin 2t and cos 2t, We know, {eq}sin(A+B)=sinAcosB+sinBcosA {/eq} Here. put A=B=t {eq}\sin (t+t)=\sin t\cos t+\sin t\cos...Beco...
Prove : sin(a + b) = sinacosb + cosasinb Prove that cos (-A + B + C) + cos (A - B + C) + cos (A + B - C) + cos (A + B + C) = 4 cos A cos B cos C. Prove that \cot \theta = \frac{1+ \cos 2\theta}{\sin 2\theta} Prove that 1 + cos 2x + cos ...
sinA+sinBcosA+cosB=tanA+B2.Solution in Punjabi Video Solution free crash course Study and Revise for your exams Unlock now | ShareSave Answer Step by step video & image solution for Prove that : (sinA+sinB)/(cosA+cosB)= tan frac (A+B)(2). by Maths experts to help you in doubts &...
m2 + n2- 2 = ( cosA + sinB)2+ ( sinA + cosB)2= cos2A + 2cosAsinB + sin2B +sin2A +2sinAcosB + cos2B -2 =(sin2A+cos2A )+ (sin2B+cos2B)-2 +2(cosAsinB +sinAcosB) ( Here Note that sinAcosB+cosAsinB = sin(A+B) and sin2x+cos2x = 1 ) ...
解析 1 E cosB-sinAsin(AtB) ) -120=0 -3x0+80 = 0 左边 sinB t sinA (cos cosB-sinAsingB) 909 =(cosB(1-sin^2A)-sinAcosAsinB)/(sinB(1-sin^2A)+sinAcosAcosθ) 5 cos'AcosB-3inAcosAsin13 二 sinBcosA f sinA cos B sin(A+8=tan(A+B)=Cst(A+B)=右边 C03(A+B) 二...
Answer on question 38139 – Math – Complex Analysis if SinA+sinB+sinC=0,cosA+cosB+cosC=0 then prove that A-B=2pi/3, B-C=2pi/3, C-A=2pi/3 let us consider three complex numbers = + , = cos + sin , = cos + sin . Moreover, | | = | | = | | = 1. + + = (cos ...
RHS= m^2+ n^2- 2 = ( cosA + sinB)^2+ ( sinA + cosB)^2 = cos^2A + 2cosAsinB + sin^2B +sin^2A +2sinAcosB + cos^2B -2 =(sin^2A+cos^2A )+ (sin^2B+cos^2B)-2 +2cosAsinB +2sinAcosB = 1+1-2 + 2(cosAsinB +sinAcosB ) =2sin(A+B) =LHS ...
Prove that: \frac{sin A - sin B}{sinAcosA - sinBcosB} = tan(A + B) Prove the identity. sin x / 1 - cos x - 1 + cos x / sin x = 0 Prove the Identity sin x sin 2x + cos x cos 2x = cos x Verify that the equation is an identity. \si...
Prove that: \frac{tanA - sin A }{sin^2A} = \frac{tan A}{1 + cosA} Prove the following: cos^2 x + tan^2 x = 1. Prove the following: sec x - tan x sin x = cos x If A + B + C = 180 , Prove that Cos^2 A + Cos^2 B - Cos^2 C = 1 -2sinAsinBcosC Prove :...