SOLUTION: Evaluate the expression. csc^2 (theta) - cot^2 (theta)

Algebra.Com
Question 188012: Evaluate the expression.
csc^2 (theta) - cot^2 (theta)

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
... Start with the given expression.


... Rewrite each term in terms of sines and cosines.


... Combine the fractions.


... Use the identity


Reduce


So

RELATED QUESTIONS

using trigonometric identities to simplify the expression (csc theta)(1-cos^2 theta)(cot... (answered by Nate)
Tan theta times csc^2 theta - tan theta = cot theta (answered by MathLover1)
Tan theta + cot theta=tan theta csc^2... (answered by Boreal)
Csc^2 theta - cot theta -... (answered by lwsshak3)
help verifying the identity sin^2(theta/2)=csc(theta)-cot(theta)/2csc... (answered by orca)
Verify Cos(theta) / (1+cos(theta)) + cos(theta)/(1-cos(theta)) = 2 cot(theta)... (answered by Edwin McCravy)
How to solve the following: sin theta cot^2 theta sec ^2 theta = ? Answers: a)sec... (answered by lwsshak3)
write the given expression in one term only. 1. cot^2 theta (csc theta) in terms of sin... (answered by MathLover1)
Simplify each trig expression into 1 term: 1.) sin(theta)+cos(theta)cot(theta)... (answered by stanbon)