Class 11th Maths – RD Sharma Chapter 5 : trigonometric Functions Fill in the Blanks Type Questions (FBQs) Solutions

1. The value of (sin 70°)/(sin 110°) is________ Watch Solution
2. The value of (cos 50°)/(cos 130°) is________ Watch Solution
3. The values of f(x) = 2sin√(x^2 + x + 1) lie in the interval ________ Watch Solution
4. If sin x + cos x = a, then sin x – cos x = _______ Watch Solution
5. If -π/2 less than x less than π/2, then √(1 – sin x)(1 + sin x) is equal to Watch Solution
6. If sec x + tan x = √3, then sec x – tan x = _________ Watch Solution
7. If sec x – tan x = 2/3, the tan x = Watch Solution
8. If cosec x + cot x = α, then sin x = Watch Solution
9. If cosec x + cot x = 11/2, then the value of tan x is ________ Watch Solution
10. If sin x = -24/25, then the value of tan x is _____ Watch Solution
11. If sin x + cosec x = 2, then sin^2 x + cosec^2 x = _________  Watch Solution
12. The value of tan x + cot (π + x) + cot (π/2 + x) + cot (2π – x) is ________ Watch Solution
13. The value of 3(sin x – cos x)^4 + 6(sin x + cos x)^2 + 4(sin^6 x + cos^6 x) is Watch Solution
14. Given x greater than 0, the value of f(x) = -3cos √(3 + x + x^2) lie in the interval ______ Watch Solution
15. If sin x + cos x = a, then sin^6 x + cos^6 x = Watch Solution
16. The value of tan 1° tan 2° tan 3°……tan 89° is_________ Watch Solution
17. If π/2 less than x less than π, then √(1 + sin x)(1 – sin x) + √(1 – sin x)(1 + sin x) = k sec x, then k = Watch Solution
18. If π/2 less than x less than π, then √(1 + sin x)(1 – sin x) = k sec x, then k = Watch Solution
19. The value of cos1° cos 2° cos 3°…..cos 179° is _________ Watch Solution
20. If π less than x less than 2π, then √(1 + cos x)(1 – cos x) + √(1 – cos x)(1 + cos x) = k cosec x, then k = Watch Solution
21. The minimum value of 9 tan^2 θ + 4 cot^2 θ is ________ Watch Solution
22. If sec x = m and tan x = n, then 1/m{(m + n) + 1/(m + n)} is equal to Watch Solution
23. If cos^2 x + sin x + 1 = 0, and 0 less than x less than 2π, then x = Watch Solution
24. If sin x = 2t/(1 + t^2) and x lies in the second quadrant, then cos x = Watch Solution
25. If sec x = t + 1/4t, then the value of sec x+ tan x is Watch Solution
26. If tan x + cot x = 4, then tan^4 x + cot^4 x = _________ Watch Solution
27. If 3π/4 less than x less than π, then √(cosec^2 x + 2cot x) is equal to Watch Solution

Chapter 5: Trigonometric Functions – R. D. Sharma Class 11th Maths

1. Trigonometric Functions Exercise 5.1 Video Solution

2. Trigonometric Functions Exercise 5.2 Video Solution

3. Trigonometric Functions Exercise 5.3 Video Solution

4. Trigonometric Functions Multiple Choice Questions (MCQs) Video Solution Video Solution

5. Trigonometric Functions Fill in the Blanks (FBQs) Video Solution

6. Trigonometric Functions Very Short Answer Questions (VSAQs) Video Solution Video Solution