Math, asked by akupatil1008, 9 hours ago

if sec4A=cosec(A-18),where 4A is an acute angle, find the value of A​

Answers

Answered by Bartaa
1

Answer:

A = 21.6°

Step-by-step explanation:

We know,

               secθ = cos(90-θ)

sec4A = cosec(A - 18)   ————(i)

sec4A = cosec(90 - 4A) ————-(ii)

From (i) and (ii)

cosec(A - 18) = cosec(90 - 4A)

A - 18 = 90 - 4A

5A = 108

A = 21.6°

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