Class 11th Maths – RD Sharma Chapter 7 : Value of Trigonometric Functions at Sum or Difference of Angles – Multiple Choice Questions (MCQs) Solutions
The value of sin²(5π/12) – sin²(π/12) is (a) 1/2 (b) √3/2 (c) 1 (d) 0 Watch Solution
If A + B + C = π, then sec A (cos B cos C – sin B sin C) is equal to (a) 0 (b) –1 (c) 1 (d) none of these Watch Solution
tan 20° + tan 40° + √3 tan 20° tan 40° is equal to (a) √3/4 (b) √3/2 (c) √3 (d) 1 Watch Solution
If tan A = a/(a + 1) and tan B = 1/(2a + 1), then the value of A + B is (a) 0 (b) π/2 (c) π/3 (d) π/4 Watch Solution
If 3 sin x + 4 cos x = 5, then 4 sin x – 3 cos x = (a) 0 (b) 5 (c) 1 (d) none of these Watch Solution
If in a ∆ ABC, tan A + tan B + tan C = 6, then cot A cot B cot C = (a) 6 (b) 1 (c) 1/6 (d) none of these Watch Solution
tan 3A – tan 2A – tan A is equal to (a) tan 3A tan 2A tan A (b) – tan 3A tan 2A tan A (c) tan A tan 2A – tan 2A tan 3A – tan 3A tan A (d) none of these Watch Solution
If A + B + C = π, then (tan A + tan B + tan C)/(tan A tan B tan C) is equal to (a) tan A tan B tan C (b) 0 (c) 1 (d) none of these Watch Solution
If cos P = 1/7 and cos Q = 13/14, where P and Q both are acute angles. Then, the value of P – Q is (a) π/6 (b) π/3 (c) π/4 (d) 5π/12 Watch Solution
If cot (α + β) = 0, then sin (α + 2β) is equal to (a) sin α (b) cos 2β (c) cos α (d) sin 2α Watch Solution
(cos 10° – sin 10°)/(cos 10° + sin 10°) is equal to (a) tan 55° (b) cot 55° (c) – tan 35° (d) – cot 35° Watch Solution
The value of cos²(π/6 + x) – sin²(π/6 – x) is (a) 1/2 cos 2x (b) 0 (c) –1/2 cos 2x (d) 1/2 Watch Solution
If sin (π cos x) = cos (π sin x), then sin 2x = (a) ±3/4 (b) ±4/3 (c) ±1/3 (d) none of these Watch Solution
If tan θ = 1/2 and tan ϕ = 1/3, then the value of θ + ϕ is (a) π/6 (b) π (c) 0 (d) π/4 Watch Solution
The value of cos (36° – A) cos (36° + A) + cos (54° + A) cos (54° – A) is (a) sin 2A (b) cos 2A (c) cos 3A (d) sin 3A Watch Solution
If tan (π/4 + x) + tan (π/4 – x) = a, then tan²(π/4 + x) + tan²(π/4 – x) = (a) a² + 1 (b) a² + 2 (c) a² – 2 (d) none of these Watch Solution
If tan (A – B) = 1, sec (A + B) = 2/√3, then the smallest positive value of B is (a) 25π/24 (b) 19π/24 (c) 13π/24 (d) 11π/24 Watch Solution
If A – B = π/4, then (1 + tan A)(1 – tan B) is equal to (a) 2 (b) 1 (c) 0 (d) 3 Watch Solution
The maximum value of sin²(2π/3 + x) + sin²(2π/3 – x) is (a) 1/2 (b) 3/2 (c) 1/4 (d) 3/4 Watch Solution
If cos (A – B) = 3/5 and tan A tan B = 2, then (a) cos A cos B = 1/5 (b) cos A cos B = –1/5 (c) sin A sin B = –1/5 (d) sin A sin B = –1/5 Watch Solution
If tan 69° + tan 66° – tan 69° tan 66° = 2k, then k = (a) –1 (b) 1/2 (c) –1/2 (d) none of these Watch Solution
If α + β = π/4, then the value of (1 + tan α)(1 + tan β) is (a) 1 (b) 2 (c) –2 (d) not defined Watch Solution
The value of sin(π/4 + θ) – cos(π/4 – θ) is (a) 2 cos θ (b) 2 sin θ (c) 1 (d) 0 Watch Solution
The minimum value of 3 cos x + 4 sin x + 8 is (a) 5 (b) 9 (c) 7 (d) 3 Watch Solution
Chapter 7: Value of Trigonometric Functions at Sum or Difference of Angles – R. D. Sharma Class 11th Maths