Question

If sinA = cos33°, A < 90°. Find the value of A.​

Answer 1

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Answer 2

Answer:

Using the properties of trigonometry, we know

sinA = cos( 90 - A ) or cosA = sin( 90 - A )

tanA = cot( 90 - A ) or cotA = tan( 90 - A )

secA = csc( 90 - A ) or cscA = sec( 90 - A )

Using sin( 90 - A ) = cosA

= > sinA = cos33

= > cos( 90 - A ) = cos33

= > 90 - A = 33

= > 90 - 33 = A

= > 57 = A

Required value of A is 57 degree.