Question

Find the value of the trigonometric function in the following:

$cot open parentheses negative fraction numerator 15 straight pi over denominator 4 end fraction close parentheses$

Solution

As tanx and cotx are periodic functions of period $straight pi left parenthesis 180 degree right parenthesis$ .
Therefore, we may add or subtract an integral multiple of $straight pi$ to convert the angle to an acute angle.
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$equals space cot open parentheses negative fraction numerator 15 straight pi over denominator 4 end fraction plus fraction numerator 16 straight pi over denominator 4 end fraction close parentheses space equals space cot open parentheses straight pi over 4 close parentheses space equals space 1$ (From tables)
Hence, $cot open parentheses negative fraction numerator 15 straight pi over denominator 4 end fraction close parentheses space equals space 1$

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Principle Of Mathematical Induction

Find the value of the trigonometric function in the following:

$cot open parentheses negative fraction numerator 15 straight pi over denominator 4 end fraction close parentheses$

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