Question

Value of the expression root 3 cosec 20 - sec 20 = ?

Answer 1

√3 cosec 20° - sec 20°

= √3/ sin 20° - 1/ cos 20°
= √3cos 20° - sin 20°/ sin 20° cos 20°

= 4 [√3/2 cos 20° - 1/2 sin 20° / 2 sin 20° cos 20°]
= 4 [ sin 60° cos 20° - cos 60° sin 20°/ sin 40°] -- ( 2 sin A cos A = sin 2A)

Using identity sin ( A - B ) = sin A cos B - cos A sin B
= 4 sin (60° - 20°) / sin 40°
= 4 sin 40°/ sin 40°
= 4

Required Answer is 4

Hope This Helps You!

Answer 2

Answer:

Answer in attachment.

Hope it will help you .