Verify the identity

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3 years ago

Verify the identity tan * csc^2x – tanx = cot

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Finnesse1235 Staff answered 3 years ago

tan * csc^2x – tanx = = tanx * 1/sin^2x – tanx = = (sinx * 1)/ (cosx * sin^2x) – sinx/cosx = = 1/(sinx * cosx) – sinx/cosx = = (1 – sin^2x)/(sinx * cosx) = (cos^2x)/(sinx * cosx) = cosx/sinx = cotx

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