#### Question

Express each one of the following in terms of trigonometric ratios of angles lying between

0° and 45°

Sin 59° + cos 56°

#### Solution

We have `sin (90^@ - theta) = cos theta` and `cos(90^@ - theta) = sin theta` so

`sin 596@ + cos 56^@ = sin(90^@ - 31^@) + cos 90^@ (90^@ - 34^@)`

`= cos 31^@ + sin 34^@`

Thus the desired expression is `cos 31^@ + sin 34^@`

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#### APPEARS IN

Solution Express Each One of the Following in Terms of Trigonometric Ratios of Angles Lying Between 0° and 45° Sin 59° + Cos 56° Concept: Trigonometric Ratios of Some Specific Angles.