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