# Express Each One of the Following in Terms of Trigonometric Ratios of Angles Lying Between 0° and 45° Cosec 54° + Sin 72° - Mathematics

Express each one of the following in terms of trigonometric ratios of angles lying between 0° and 45°

cosec 54° + sin 72°

#### Solution

We know sin(90^@ - theta) = cos theta and cosec(90^@ - theta) = sec theta So

cosec 54° + sin 72° = cosec(90^@ - 36^@) + sin (90^@ - 18^@)

= sec 36^@ + cos 18^@

hus the desired expression is sec 36^@ + cos 18^@`

Concept: Trigonometric Ratios of Some Special Angles
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#### APPEARS IN

RD Sharma Class 10 Maths
Chapter 10 Trigonometric Ratios
Exercise 10.3 | Q 3.5 | Page 53