Evaluate 26^ 64^ + e c 33^ 57^ - Vidyadip

Question

Evaluate $\sec 26^{\circ} \sin 64^{\circ}+\frac{\cos e c 33^{\circ}}{\sec 57^{\circ}}$

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Answer

$\sec 26^{\circ} \sin 64^{\circ}+\frac{\cos e c 33^{\circ}}{\sec 57^{\circ}}$
$=\sec \left(90^{\circ}-64^{\circ}\right) \sin 64^{\circ}+\frac{\operatorname{cosec}\left(90^{\circ}-57^{\circ}\right)}{\sec 57^{\circ}}$
$=\cos e c 64^{\circ} \sin 64^{\circ}+\frac{\sec 57^{\circ}}{\sec 57^{\circ}}$
$=1+1$
$=2$

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