SOLUTION: Use basic Trigonometric identities to simplify the following expression. csc^2(θ)/csc^2(θ)+sec^2(θ)

Algebra ->  Trigonometry-basics -> SOLUTION: Use basic Trigonometric identities to simplify the following expression. csc^2(θ)/csc^2(θ)+sec^2(θ)      Log On


   

Question 1127996: Use basic Trigonometric identities to simplify the following expression.
csc^2(θ)/csc^2(θ)+sec^2(θ)
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
csc%5E2%28theta%29%2F%28csc%5E2%28theta%29%2Bsec%5E2%28theta%29+%29
use:
csc%5E2%28theta%29=1%2Fsin%5E2%28theta%29
sec%5E2%28theta%29+=1%2Fcos%5E2%28theta%29

=%281%2Fsin%5E2%28theta%29%29%2F%281%2Fsin%5E2%28theta%29%2B1%2Fcos%5E2%28theta%29+%29

=


=%281%2Fsin%5E2%28theta%29%29%2F%281%2F%28sin%5E2%28theta%29%2Acos%5E2%28theta%29+%29%29


=


=%281%2F1%29%2F%281%2Fcos%5E2%28theta%29+%29

=cos%5E2%28theta%29