Posted by **ken** on Tuesday, February 12, 2013 at 11:28pm.

verify identity:

(tanx-cotx)/sinxcosx=sec^2x csc^2x

- college trigonometry -
**Reiny**, Tuesday, February 12, 2013 at 11:41pm
LS = (sinx/cosx - cosx/sinx)/(sinxcosx)

= [(sin^2x - cos^2x)/(sinxcosx)]/sinxcosx

= (sin^2x - cos^2x)/(sin^2x cos^2x)

=sin^2x/(sin^2xcos^2x) - cos^2x/(sin^2xcos^2x)

= 1/cos^2x - 1/sin^2x

= sec^2x - csc^2x

≠ RS

you have a typo, your right side should have been

sec^2x - csc^2x

- college trigonometry -
**shonne**, Thursday, February 21, 2013 at 12:51am
what is the function of tan 7pi

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