Value of Trigonometric Functions at Multiples and Submultiples of an angle – Fill in the Blanks Type Questions (FBQs) Exercise Solutions

1. If {1 – tan² ( π/4 – x )}/{1 + tan² ( π/4 – x )} = sin kx, then k = ………. Watch Solution
2. If cos x cos 2x cos 2² x ……….. cos 2^n–1 x = λ sin 2^n λ/sin x , then λ = ……….. Watch Solution
3. The value of cos 2π/15 cos 4π/15 cos 8π/15 cos 16π/15 is ………… Watch Solution
4. If tan x = (1 – cos y)/sin y , then tan 2x = …………………….. Watch Solution
5. If k = sin π/18 sin 5π/18 sin 7π/18, then the numerical value of k is ………….. Watch Solution
6. In a triangle ABC with ∠C = π/2 the equation whose roots are tan A and tan B is …………. Watch Solution
7. The value of cos² 48° – sin² 12° is ……………………. Watch Solution
8. The least value of 2 sin² θ + 3 cos² θ is ……………………….. Watch Solution
9. If cos⁶ x + sin⁶ x + k sin² 2x = 1, then k = ………………….. Watch Solution
10. The value of (1 + cos π/8)(1 + cos 3π/8)(1 + cos 5π/8)(1 + cos 7π/8) is…………………………. Watch Solution
11. The value of (cot x – tan x)/cot 2x is …………………….. Watch Solution
12. If tan θ = t, then tan 2θ + sec 2θ = ……………………. Watch Solution
13. If tan θ = a/b , then a sin 2θ + b cos 2θ is equal to ………………… Watch Solution
14. If tan x = 1/7 , tan y = 1/3 and cos 2x = sin ky, then k = …………………. Watch Solution
15. The value of cos π/5 cos 2π/5 cos 4π/5 cos 8π/5 is ……………………… Watch Solution
16. The value of sin 3π/10 is ……………………….. Watch Solution
17. The value of cos² 6° – cos² 24° is ………………….. Watch Solution
18. If π/2 less than x less than π, then √(1 – cos 2x)/(1 + cos 2x) = ………………………… . Watch Solution
19. If π/4 less than x less than π/2, then √2 + √2 + 2 cos 4x = ………………………… . Watch Solution
20. The value of 108 sin π/9 – 144 sin 3π/9 is ………………………… . Watch Solution

Chapter 9: Values of Trigonometric Functions at Multiples and Submultiples of an Angle – R. D. Sharma Class 11th Maths

1. Values of Trigonometric Functions at Multiples and Submultiples of an Angle Exercise 9.1 Video Solution

2. Values of Trigonometric Functions at Multiples and Submultiples of an Angle Exercise 9.2 Video Solution

3. Values of Trigonometric Functions at Multiples and Submultiples of an Angle Exercise 9.3 Video Solution

4. Values of Trigonometric Functions at Multiples and Submultiples of an Angle Multiple Choice Questions (MCQs) Video Solution Video Solution

5. Values of Trigonometric Functions at Multiples and Submultiples of an Angle Fill in the Blanks (FBQs) Video Solution

6. Values of Trigonometric Functions at Multiples and Submultiples of an Angle Very Short Answer Questions (VSAQs) Video Solution Video Solution