Trigonometry MCQs for Competitive Examination Solve the following problems. Q. 81If sec 15θ = cosec 15θ (0° < θ < 10°), then value of θ is (A) 9°(B) 5°(C) 8°(D) 3° Show Answer/Hide Answer Answer: (D) 3°Explanation: Q. 82If tan θ − tan 30° tan 60° and θ is an acute angle, then 2θ is equal to (A) 0°(B) 30°(C) 45°(D) 90° Show Answer/Hide Answer Answer: (D) 90°Explanation: Q. 83If tan(5x – 10°) = cot(5y + 20°), then the value of (x + y) is (A) 15°(B) 16°(C) 24°(D) 20° Show Answer/Hide Answer Answer: (B) 16°Explanation: Q. 84If 0° ≤ A ≤ 90°, the simplified form of the given expression sin A cos A (tan A – cot A) is (A) 1 (B) 1 – 2 sin²A(C) 2 sin²A – 1 (D) 1 – cos A Show Answer/Hide Answer Answer: (C) 2 sin²A – 1Explanation: Q. 85If θ is an acute angle and tan²θ +(1/tan²θ)=2, then the value of θ is (A) 15°(B) 30°(C) 45°(D) 60° Show Answer/Hide Answer Answer: (C) 45°Explanation: Q. 86If the sum and difference of two angles are 22/9 radian and 36° respectively, then the value of the smaller angle in degree taking the value of π as 22/ 7 is (A) 52°(B) 60°(C) 56°(D) 48° Show Answer/Hide Answer Answer: (A) 52°Explanation: Q. 87The value of cos 1° cos 2° cos 3° … cos 180° is (A) 0(B) 1(C) 1/2(D) (√3)/2 Show Answer/Hide Answer Answer: (A) 0Explanation: Q. 88If cos 20° = m and cos 70° = n, then the value of m² + n² is (A) 1/2(B) 1(C) 3/2(D) 1/√2 Show Answer/Hide Answer Answer: (B) 1Explanation: Q. 89If 1 + cos²θ = 3 sinθ cosθ, then the integral value of cotθ(0<θ<π/2) is (A) 0(B) 1(C) 2(D) 3 Show Answer/Hide Answer Answer: (B) 1Explanation: Q. 90If secθ + tanθ = 2 +√5, then the value of sinθ is (0° ≤ θ ≤ 90°) (A) (√3)/2(B) 2/√5(C) 1/√5(D) 4/5 Show Answer/Hide Answer Answer: (A) (√3)/2Explanation: Q. 91Which of the following relations is correct for 0< θ<90? (A) sinθ = sin2θ(B) sinθ < sin2θ(C) sinθ > sin2θ(D) sinθ = cosecθ Show Answer/Hide Answer Answer: (B) sinθ < sin2θExplanation: Q. 92The value of sinθ/(1+cosθ)+sinθ/(1-cosθ) (A) 2sinθ(B) 2cosθ(C) 2secθ(D) 2cosecθ Show Answer/Hide Answer Answer: (D) 2cosecθExplanation; Q. 93 If tanθ=8/15, the value of √(1-sinθ)/√(1+sinθ) is (A) 1/5(B) 2/5(C) 3/5(D) 0 Show Answer/Hide Answer Answer: (C) 3/5Explanation: Q. 94 If tan45 = cotθ, then the value of θ in radians in? (A) π/4(B) π/9(C) π/2(D) π/12 Show Answer/Hide Answer Answer: (A) π/4Explanation: Q. 95If cos^{4}θ – sin^{4}θ = 1/3, then the value of tan²θ is (A) 1/2(B) 1/3(C) 1/4(D) 1/5 Show Answer/Hide Answer Answer: (A) 1/2Explanation: Q. 96If cos θ + sin θ = m and sec θ + cosecθ = n, then the value of n(m² – 1) is equal to (A) 2n(B) mn(C) 2m(D) 4mn Show Answer/Hide Answer Answer: (C) 2mExplanation: Q. 97If θ is a positive acute angle and 3(sec²θ + tan²θ) = 5, then the value of cos 2θ is (A) 1/2(B) 1/√2(C) 1(D) (√3)/2 Show Answer/Hide Answer Answer: (A) 1/2Explanation: Q. 98If sec θ – cos θ =3/2, where θ is a positive acute angle, then the value of sec θ is (A) 0(B) 1(C) 2(D) -1/2 Show Answer/Hide Answer Answer: (C) 2Explanation: Q. 99 If tan(5x – 10°) = cot(5y + 20°), then the value of (x + y) is (A) 15°(B) 16°(C) 20°(D) 24° Show Answer/Hide Answer Answer: (D) 24°Explanation: Q. 100If x = a (sin θ + cos θ) and y = b (sin θ – cos θ), then the value of (x/a)²+(y/b)² is (A) 1(B) 2(C) 3(D) 4 Show Answer/Hide Answer Answer: (B) 2Explanation: « 1 2 3 4 5 » Share on facebook Share on twitter Share on linkedin Share on pinterest Share on reddit Share on whatsapp Share on email Share on telegram Trigonometry MCQs (page 1) Trigonometry MCQs (page 2) Trigonometry MCQs (page 3) Trigonometry MCQs (page 4) Trigonometry MCQs (page 5)