Saturday

February 28, 2015

February 28, 2015

Posted by **Haley** on Wednesday, March 14, 2012 at 11:30pm.

cos^4 theta- sin ^4 thetaover sin squared theta cos squared theta =cot squared theta - tan squared theta

- math -
**Steve**, Thursday, March 15, 2012 at 11:24amI'll use x for theta, for my convenience.

(cos^4x - sin^4x)/sin^2x cos^2x

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

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

= (cot^2x - 1)(1+tan^2x)

= cot^2x - 1 + cot^2xtan^2x - tan^2x

= cot^2x - 1 + 1 - tan^2x

= cot^2x - tan^2x

**Answer this Question**

**Related Questions**

Precalculus with Trigonometry - Prove or disprove the following Identities: cos...

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

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

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

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

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

Math11U - Simplify each trigonometric expression a) Sin(theta)Cot(theta)-Sin(...

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

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 ...