1) sin Φ/sin θ 2) sin θ/sin Φ 3) sin θ/(1 - cos θ) 4) sin θ/(1 - cos Φ) Answer: (2) sin θ/sin Φ Solution: Given, tan θ = [(x sin Φ)/(1 - x... View Article
1) 110 2) 191 3) 80 4) 194 Answer: (4) 194 Solution: Given, tan A + cot A = 4 Squaring on both sides, tan2A + cot2A + 2 tan A cot A = 16... View Article
1) sin θ/(1 + tan θ) 2) 2 sin θ/(1 + tan θ) 3) 2 sin θ/(1 + tan θ)2 4) None of these Answer: (2) 2 sin θ/(1 + tan θ) Solution: [2 sin θ tan... View Article
1) 0 2) e 3) 1/3 4) None of these Answer: (4) None of these Solution: elog10 tan 1° + log10 tan 2° + log10 tan 3°+...+log10 tan 89° Let us... View Article
If cos θ - sin θ = √2 sin θ, then cos θ + sin θ is equal to 1) √2 cos θ 2) √2 sin θ 3) 2 cos θ 4) -√2 cos θ Answer: (1) √2 cos θ Solution:... View Article
If θ lies in the second quadrant, then the value of √[(1 - sin θ)/(1 + sin θ)] + √[(1 + sin θ)/(1 - sin θ)] is 1) 2 sec θ 2) -2 sec θ 3) 2... View Article
1) 1 2) 2 3) 4 4) None of these Answer: (1) 1 Solution: Given, sin A, cos A and tan A are in G.P. If a, b, c are in G.P., then b2 = ac.... View Article
1) 1 2) -1 3) 0 4) None of these Answer: (2) -1 Solution: Given, sin x + sin y = 3(cos y - cos x) sin x + 3 cos x = 3 cos y - sin y Let us... View Article
