Question

If sec4A=cosec(A - 20°), then the value of A will be-

22°

36°

90°

0°​

Answer 1

I hope it helps you

mark me as brainlist

Answer 2

Hi,

______________________________

This is related to Trigonometric Ratios of

Complementary Angles,

Two angles are said to be complementary

if their sum equals 90 degrees.

We know that ,

Cosec ( 90 - x ) = Sec x ----( 1 )

__________________________________

Sec ( 4A ) = Cosec ( A - 20 )

Cosec ( 90- 4A ) = Cosec ( A - 20 )

[ from ( 1 ) ]

90 - 4A = A - 20

90 + 20 = A + 4A

110 = 5A

5A = 110

A = 110 / 5

A = 22

Therefore,

The required angle = A = 22 degrees.

I hope this helps you.

^_^ mark me as brainliest please