Math, asked by THa, 1 year ago

If sec 4A = cosec (A – 20°), where 4A is an acute angle, find the value of A.


NCERT Class X

Mathematics - Mathematics


Chapter _INTRODUCTION TO

TRIGONOMETRY

Answers

Answered by mysticd
486
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 )
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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.

:)

Answered by krishnapandey12
308
hope it helps.......
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