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Question

Mathematics Question on Trigonometric Functions

Find the value of the trigonometric function cot (15π4)(-\frac{15π}{4})

Answer

It is known that the values of sin x repeat after an interval of 2π or 360°.

cot(15π4)=cot(15π4+4π)=cotπ3=1∴cot(-\frac{15{\pi}}{4})=cot(\frac{15{\pi}}{4}+4{\pi})=cot\frac{\pi}{3}=1