Sunday

September 21, 2014

September 21, 2014

Posted by **tony** on Sunday, July 14, 2013 at 6:22pm.

cos^2x+sin^2x/cot^2x-csc^2x

- trig -
**MathMate**, Sunday, July 14, 2013 at 7:21pmParentheses are assumed missing. Implied parentheses are ALWAYS required in numerator and denominator of fractions.

(cos^2x+sin^2x)/(cot^2x-csc^2x)

This problem can be solved by converting all functions in terms of sine and cosine according to the standard definitions.

(cos^2x+sin^2x)/(cot^2x-csc^2x)

=(cos^2(x)+sin^2(x))/(cos^2(x)/sin^2(x)-1/(sin^2(x))

Use sin²(u)+cos²(u)=1 to reduce the numerator to 1.

Since the denominator has a common factor of sin²(x), we can simplify that too!

=(1)/[(cos²(x)-1)/sin²(x)]

=sin²(x)/(cos²(x)-1)

=sin²(x)/(-sin²(x)

=-1

**Answer this Question**

**Related Questions**

trig - simplify the expression. (sin^2x+cos^2x) - (csc^2x-cot^2x)

Trigonometry - Hello all, In our math class, we are practicing the trigonometric...

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

trig - For each expression in column I, choose the expression from column II to ...

verifying trigonometric identities - How do I do these problems? Verify the ...

Pre-Calculus - I don't understand,please be clear! Prove that each equation is ...

Math - cos(tan + cot) = csc only simplify one side to equal csc so far I got ...

Pre-Calculus - Prove that each equation is an identity. I tried to do the ...

trig 30 - For csc^2 A-1/cot A csc A, what is the simplest equivalent trig ...

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