How do you verify (1 + csc x)(sec x - tan x) = cot x?

1 Answer
Mar 5, 2016

RHS=cotx

Explanation:

RHS:

(1 + cscx)(secx-tanx)

(1 + 1/sinx)(1/cosx-sinx/cosx)

((sinx + 1)/sinx)((1-sinx)/cosx)

(cancelsinx-sin^2x+1-cancelsinx)/(sinxcosx)

(1-sin^2x)/(sinxcosx)

(cancel(cos^2x)^cosx)/(sinxcancelcosx)

cosx/sinx

cotx=LHS

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