1 Answers

Best Answer

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

1 Answers

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