Question
Evaluate $\sec 26^{\circ} \sin 64^{\circ}+\frac{\cos e c 33^{\circ}}{\sec 57^{\circ}}$
✓
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}} $
$=1+1=2$
$ =\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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