Trigonometry Multiple Choice Questions
Trigonometry Multiple Choice Questions 1) Which of the following is the correct value of cot 100.cot 200.cot 600.cot 700.cot 800? 1/√3 √3 -1 1 Answer: (a) 1/√3 Explanation: Here, we can apply the formula - cot A. cot B = 1 (when A + B = 900) = (cot 200 . cot 700) x (cot 100 . cot 800) x cot 600 = 1 x 1 x 1/√3 = 1/√3 So, the correct value of cot 100.cot 200.cot 600.cot 700.cot 800 = 1/√3 2) If a sin 450 = b cosec 300, what is the value of a4/b4? 63 43 23 None of the above Answer: (b) 43 Explanation: Given a sin 450 = b cosec 300 So, a/b = cosec 300/ sin 450 a/b = 2/( 1/√2) a/b = 2√2/1 a4/b4 = (2√2/1)4 a4/b4 = 64/1 or, a4/b4 = 43 3) If tan θ + cot θ = 2, then what is the value of tan100 θ + cot100 θ? 1 3 2 None of the above Answer: (c) 2 Explanation: Given tan θ + cot θ = 2 Put θ = 450, above equation will satisfy as, 1 + 1 = 2 So, θ = 450, = tan100 450 + cot100 450 = 1100 + 1100 = 2 4) If the value of α + β = 900, and α : β = 2 : 1, then what is the ratio of cos α to co...