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Question

Find the value of the trigonometric function
cot(15π4).

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Solution

cot(15π4) = −cot(15π4) {∵cot(−𝑥)=−cot⁡𝑥 }
= −cot(16ππ4)
= −cot(4ππ4)
Values of cot⁡𝑥 repeat after an interval of 𝜋,
hence ignoring 4𝜋
cot(15π4) = −cot(π4) = −((cotπ4))
cot(15π4)= cot π4 = 1

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