4. Express cos 75°+cot 75° in terms of angles between 0° and 30°.
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Step-by-step explanation:
SOLUTION :
Given : cos 75° + cot 75°
cos 75° + cot 75° = cos (90°−15°) + cot (90°−15°)
= sin 15° + tan 15°
[cos (90 - θ) = sin θ , cot (90 - θ) = tan θ]
Hence, cos 75° + cot 75° = sin 15° + tan 15° .
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