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Express Each One of the Following in Terms of Trigonometric Ratios of Angles Lying Between 0° and 45° Tan 65° + Cot 49° - Mathematics

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

tan 65° + cot 49°

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Solution

We know `tan (90^@ - theta) = cot theta` and `cot(90^@ - theta) = tan theta`. So

`tan 65° + cot 49° = tan(90^@ - 25^@) + cot 90^@ (90^@ - 41^@)`

`= cot 25^@ + tan 41^@`

Thus the desired expression is `= cot 25^@ + tan 41^@`

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APPEARS IN

RD Sharma Class 10 Maths
Chapter 10 Trigonometric Ratios
Exercise 10.3 | Q 3.2 | Page 53
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