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Question
Prove the following:
`("cosec"(90^circ - x)sin(180^circ - x)cot(360^circ - x))/(sec(180^circ + x)tan(90^circ + x)sin(-x))` = 1
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Solution
L.H.S. = `("cosec"(90^circ - x)sin(180^circ - x)cot(360^circ - x))/(sec(180^circ + x)tan(90^circ + x)sin(-x))`
= `(secx*sinx*(- cotx))/((-secx)*(-cotx)*(- sinx)`
= `(secx*sinx*cotx)/(secx*cotx*sinx)`
= 1
= R.H.S.
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