Question

Verify the identity
(1/1+sinx)+(1/1+cscx)=1

Answer 1

On the Left Hand Side, add the fractions.
Do this by common denomitorizing them.
So multiply the left by (1 + csc x)/(1 + csc x) and
the right one by (1 + sin x)/(1 + sin x).
Then add the fractions. The denominator should be (1 + sin x)(1 + cos x).
The numerator will be 1 + csc x + 1 + sin x.
So show that the numerator and denominator actually are equal.

Answer 2

Thanks

Answer 3

ok what if I have ((1-2sin^2(θ))/(sin(θ)cos(θ)))=cot(θ)-tan(θ)
I have (1-2sin^2θ)/(sinθ(cosθ/sinθ)=(cotθ-(sinθ/cosθ)? where do I go from there?