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If cottheta=21/20, then find the value o...

If cot`theta`=21/20, then find the value of cos`theta` and sin`theta`.

Text Solution

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`cot theta = 21/20`
`=>cot^2 theta = (21/20)^2 = 441/400`
`=>cosec^2theta - 1 = 441/400`
`=>cosec^2 theta = 841/400`
`=>cosec theta = 29/20`
`=>sintheta = 1/(cosec theta )= 20/29`
`=>costheta = cot theta*sintheta = (21/20)*(20/29) = 21/29`
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