Thursday

December 18, 2014

December 18, 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

**Answer this Question**

**Related Questions**

Algebra II - Multiple Choice Which expression is NOT equivalent to 1? (theta) ...

Precalculus check answers help! - 1.) Find an expression equivalent to sec theta...

Precalculus check answers help! - 1.) Find an expression equivalent to sec theta...

algebra - Can someone please help me do this problem? That would be great! ...

Calculus - I wanted to confirm that I solved these problems correctly (we had to...

Maths- complex numbers - Find tan(3 theta) in terms of tan theta Use the formula...

Algebra II - Which of the following expressions are not equal to 1? A) sin^2 ...

trigonometry - can you correct the rest for me please? Express each as a ...

trigonometry - can you correct the rest for me please? Express each as a ...

Trigonometry - I don't understand how I'm supposed set the problem up or what ...