Question

If f(x) = sin x , prove that 1/f(x)-f(x)=cotx×cosx
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Answer 1

Solution:-

Given f(x) = sinx

1/f(x) = 1/sinx

So, 1/f(x) - f(x)

=> 1/sinx - sinx

=> 1-sin²x/sinx

=> cos²x /sinx

=> cosx/sinx×cosx

=> cotx *sinx proved LHS = RHS

Hope it's helpful