Math, asked by mgd0prabbaarulier, 1 year ago

If sec2A = cosec (A - 42), where 2A is an acute angle, find the value of A.

Answers

Answered by Arslankincsem
164

Given that,  


Sec 2A= cosec (A - 42)


Cosec (90 - 2A)= cosec (A - 42) [∵, cosec (90°- θ)= sec θ]


Comparing angles


90 - 2A= A - 42


90 + 42= A + 2A


132 = 3A


A = 132/3


2A = 88



A = 88/2


Hence, the value of A = 44, which is an acute angle.


Answered by RiskyJaaat
72
90 + 42 = 2 a + a

132 = 3 a

a = 132/3

a = 44

It is an acute angle

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