Question

Express cos75°+cot75° in terms of angles between 0° and 30°.

Answer 1

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Answer 2

Express cos75°+cot75° in terms of angles between 0° and 30°.

First we need to split cos75° and cot75° in terms of geometric expressions.

cos75° = cos( 90° - 15° ) = sin15°

cot75° = cot ( 90° - 15° ) = tan15°

= sin15° +   tan15°

Hence, cos75°+cot75° in terms of angles between 0° and 30° is sin15° +   tan15°.