Related InterviewSolutions

• If sinA/sinB = √3/2 and cosA/cosB = √5/2 then tanA+tanB is equal to
• If sin x + cos x = a, then(i) sin6 x + cos6 x = _______(ii) | sin x – cos x | = _______.
• In a triangle ABC, if \(\frac{sin(A-B)}{sin(A+B)}=\frac{a^2-b^2}{a^2+b^2},\) Prove that the triangle is either isosceles or right angled.
• If polar co-ordinates of a point are then its cartesian co-ordinates are ______.(a) (2, √2) (b) (√2, 2) (c) (2, 2) (d) (√2 ,√2)
• If tan(A +B) = And tan(A -B) = y, find the values of tan 2A And tan 2B.
• In ∆ABC if ∠A = 45°, ∠B = 60° then the ratio of its sides are _________.(a) 2 :\(\cfrac{\pi}{2}\) : \(\cfrac{\pi}{3}\)+ 1 (b) \(\cfrac{\pi}{2}\): 2 : \(\cfrac{\pi}{3}\) + 1 (c) 2 : \(\cfrac{\pi}{2}\) : \(\cfrac{\pi}{2}\)(d) 2 : 2\(\cfrac{\pi}{2}\) : \(\cfrac{\pi}{3}\)+ 1
• If α + β - γ = π, and sin2 α + sin2 β – sin2 γ = λ sin α sin β cos γ, then write the value of λ.
• If sin θ + cos θ = 1, then the value of sin 2θ is equal to A. 1  B. 1/2 C. 0 D. –1
• Prove the identity: sin 2x/(1 – cos 2x) = cot x
• Prove the identity: sin 2x/(1 + cos 2x) = tan x