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Question

Evaluate
$$\dfrac {\sin 36^{\circ}}{\cos 54^{\circ}}$$


Solution

$$\dfrac { \sin { 36° }  }{ \cos { 54° }  } =\dfrac { \sin { \left( 90°-54° \right)  }  }{ \cos { 54° }  } =\dfrac { \cos { 54° }  }{ \cos { 54° }  } =1$$

Hence, the answer is $$1.$$

Mathematics

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