If Alpha Beta Gamma 2theta Then Cos Theta Cos Theta Alpha
1) 4 sin(α/2) cos(β/2) sin(γ/2) 2) 4 cos(α/2) cos(β/2) cos(γ/2) 3) 4 sin(α/2) sin(β/2) sin(γ/2) 4) 4 sin α sin... View Article
1) 4 sin(α/2) cos(β/2) sin(γ/2) 2) 4 cos(α/2) cos(β/2) cos(γ/2) 3) 4 sin(α/2) sin(β/2) sin(γ/2) 4) 4 sin α sin... View Article
1) 0 2) 1 3) 2 4) 3 Answer: (2) 1 Solution: Given, A = 35°, B = 15°, C... View Article
1) 1/16 2) -(1/16) 3) 1 4) 0 Answer: (2) -(1/16) Solution: cos(π/15) cos(2π/15) cos(4π/15) cos(8π/15) [cos(4π/15) cos(π/15)] [cos(8π/15) cos(2π/15)]... View Article
1) tan x = tan α 2) tan x = tan2α 3) tan x = tan3α 4) tan x =... View Article
1) sin 7° 2) cos 7° 3) sin 36° 4) cos 36° Answer: (2) cos 7° Solution: sin 47° +... View Article
1) (1 + λ)/(1 – λ) 2) (1 – λ)/(1 + λ) 3) λ/(1 + λ) 4) λ/(1 – λ)... View Article
The value of cos2(A – B) + cos2B – 2 cos(A – B) cos A cos B is 1) sin... View Article
1) < 1 2) = -1 3) < 0 4) None of these Answer: (1) < 1 Solution: Let us... View Article
1) (1 + k)/(1 – k) 2) (1 – k)/(1 + k) 3) (k + 1)/(k – 1) 4) (k... View Article
1) 3 2) 1/2 3) – 1 4) – 2 5) 2 Answer: (5) 2 Solution: Given, A + B... View Article
If tan A and tan B are the roots of abx2 – c2x + ab = 0, where a, b... View Article
1) 0 2) 1 3) 1/2 4) 1/√2 Answer: (1) 0 Solution: sin 50° – sin 70° + sin 10°... View Article
1) √12 2) 1/√3 3) √3 4) √3/2 Answer: (3) √3 Solution: 60° = 40° + 20° Taking “tan” on both... View Article
1) 6 2) 0 3) 2 4) 4 Answer: (4) 4 Solution: tan 81° – tan 63° – tan 27°... View Article
1) (θ + α)/2 is any odd multiple of π/2 and (θ – α)/2 is any multiple of π 2)... View Article
If sin θ + cosec θ = 2, then the value of sin10θ + cosec10θ is 1) 2 2) 210... View Article
If 12 cot2θ – 31 cosec θ + 32 = 0, the the value of sin θ is 1) 3/5... View Article
If θ ϵ (0, π/4) and t1 = (tan θ)tan θ, t2 = (tan θ)cot θ, t3 = (cot θ)tan... View Article
sin217.5° + sin272.5° is equal to 1) cos290° 2) tan245° 3) cos230° 4) sin245° Answer: (2) tan245° Solution: sin217.5° +... View Article
If cos x + cos2x = 1, then the value of sin12x + 3 sin10x + 3 sin8x +sin6x –... View Article