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Express cos75° + cot 75° in terms of angles between 0° and 30°.

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Given: cos 75° + cos 75°

To find : Expression in terms of angles between 0° and 30°. 

Solution : Use the values:

cos(90° - θ) = sinθ

cot (90° - θ) = tanθ

Solve,

cot 75° + cot 75° 

=  cos (90° - 15°) + cot(90° - 15°)

= sin 15° + tan 15°

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