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
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Answered by
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 )
__________________________________
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.
:)
______________________________
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.
:)
Answered by
308
hope it helps.......
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