Question
Evaluate the following: $\frac{\sec 34^{\circ}}{\operatorname{cosec} 56^{\circ}}$
✓
Answer
$\begin{aligned} & \frac{\sec 34^{\circ}}{\operatorname{cosec} 56^{\circ}} \\ & =\frac{\sec \left(90^{\circ}-56^{\circ}\right)}{\operatorname{cosec} 56^{\circ}} \\ & =\frac{\operatorname{cosec} 56^{\circ}}{\operatorname{cosec} 56^{\circ}} \\ & =1 .\end{aligned}$
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