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April 19, 2014

April 19, 2014

Posted by **lindsay** on Friday, May 4, 2012 at 4:30am.

Show that tan theta (sin theta+cot theta cos theata)all over cos theta = sec^2 theta. Please explain.

- trigonometry -
**Steve**, Friday, May 4, 2012 at 4:41amtan(sin+cot*cos)/cos

When dealing with such a combination of functions, it is usually good to start out by converting everything to sin and cos:

(sin/cos)(sin+(cos/sin)cos)/cos

sin/cos * (sin^2 + cos^2)/sin * 1/cos

(sin^2 + cos^2)/cos^2

1/cos^2

sec^2

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