Question

If sec6A=cosec(A+6),where 6A is an acute angle, find the value of A

Answer 1

Solution :

Given sec6A = cosec( A + 6 )

=> Cosec( 90 - 6A ) = cosec( A + 6 )

=> 90 - 6A = A + 6

=> -6A - A = 6 - 90

=> -7A = -84

=> A = ( -84 )/( -7 )

=> A = 12

Therefore ,

A = 12

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