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Relation between Trigonometric Ratios

Evaluate the ...

Question

Evaluate the following :

(i) $\frac{\sin 20 °}{\cos 70 °}$
(ii) $\frac{\cos 19 °}{\sin 71 °}$
(iii) $\frac{\sin 21 °}{\cos 69 °}$
(iv) $\frac{\tan 10 °}{\cot 80 °}$
(v) $\frac{\sec 11 °}{cosec 79 °}$

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Solution

(i) Given that

Since

Therefore

(ii) Given that

Since

Therefore

(iii) Given that

Since

(iv) We are given that

Since

Therefore

(v) Given that

Since

Therefore

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Q. Evaluate the following :

\frac{sec 11}{cosec 79}

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