# Express Each One of the Following in Terms of Trigonometric Ratios of Angles Lying Between 0° and 45° Sin 59° + Cos 56° - Mathematics

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

RD Sharma Class 10 Maths
Chapter 10 Trigonometric Ratios
Exercise 10.3 | Q 3.1 | Page 53