Q61 of 76 Page 52

Fill in the blanks
If then the numerical value of k is _________.

Given that,

⇒ k = sin 10° sin 50° sin 70°

= sin 10° sin (90° - 40°). sin (90° - 20°)

= sin 10° cos 40° cos 20°

[∵ 2 cos x cos y = cos(x + y)+cos(x-y)]

[∵ 2 sin x cos y = sin (x + y)+sin(x-y)]

If for real values of x, then

Fill in the blanks

The value of is _______.

Fill in the blanks

If then tan 2A = _______.

Fill in the blanks

If sin x + cos x = a, then

(i) sin⁶ x + cos⁶x = _______

(ii) |sin x – cos x| = ______.

Fill in the blanksIf then the numerical value of k is _________.