Value of Trigonometric Functions at Multiples and Submultiples of an angle – Very Shorts Answer Questions (VSAQs) Exercise Solutions

1. If cos 4x = 1 + k sin² x cos² x, then write the value of k. Watch Solution
2. If tan x/2 = m/n, then write the value of m sin x + n cos x. Watch Solution
3. If π/2 less than x less than 3π/2, then write the value of √{(1 + cos 2x)/2}  Watch Solution
4. If π/2 less than x less than π, then write the value of √2 + √2 + 2cos2x in the simplest form. Watch Solution
5. If π/2 < x < π, then write the value of √(1 – cos 2x)/(1 + cos 2x). Watch Solution
6. If π < x < 3π/2, then write the value of √(1 – cos 2x)/(1 + cos 2x). Watch Solution
7. In a right angled triangle ABC, write the value of sin² A + sin² B + sin² C. Watch Solution
8. Write the value of cos² 76° + cos² 16° – cos 76° cos 16°. Watch Solution
9. If π/4 less than x less than π/2, then write the value of √1 – sin 2x. Watch Solution
10. Write the value of cos π/7 cos 2π/7 cos 4π/7 Watch Solution
11. If tan A = (1 – cos B)/sin B, then find the value of tan 2A. Watch Solution
12. If sin x + cos x = a, find the value of sin⁶ x + cos⁶ x. Watch Solution
13. If sin x + cos x = a, find the value of |sin x – cos x|. Watch Solution