# Solution - Trigonometric Ratios of Complementary Angles

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ConceptTrigonometric Ratios of Complementary Angles

#### Question

Show that cos 38° cos 52° − sin 38° sin 52° = 0

#### Solution

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Without using trigonometric tables, evaluate the following:

( i)\frac{\cos37^\text{o}}{\sin53^\text{o}}\text{ }(ii)\frac{\sin41^\text{o}}{\cos 49^\text{o}}(iii)\frac{\sin30^\text{o}17'}{\cos59^\text{o}\43'}

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Express each of the following in terms of trigonometric ratios of angles between 0º and 45º;

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#### Reference Material

Solution for concept: Trigonometric Ratios of Complementary Angles. For the course 8th-10th CBSE
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