Question

Express sin 67 degree + cos 75 degree in terms of trigonometric ratios of angle between zero degree and 45 degree

Answer 1

We know that

sinα=cos(90°-α)

And

cosα=sin(90°-α)

So ,,, sin67°+cos75° can be written as

cos(90°-67°) + sin(90°-75°)

=cos23° + sin15°

Answer 2

We know that  

sinα=cos(90°-α)

And

cosα=sin(90°-α)

 So ,,, sin67°+cos75° can be written as

cos(90°-67°) + sin(90°-75°)

=cos23° + sin15°