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Find the values of the trigonometric function `cot``(-(15pi)/4)`

Text Solution

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As `cot(-theta) = -cot theta`
`:. cot(-(15pi)/4) = -cot((15pi)/4)`
`=-cot(4pi-pi/4)`
`=-cot(2*2pi-pi/4)`
`=-cot(-pi/4)` (As `cot(2npi+theta) = cot theta`)
`=cot(pi/4) = 1`
`:. cot(-(15pi)/4) = 1`
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