Question

Simplify sin^2 θ(1 – csc^2 θ)

Answer 1

csc(x) = 1/sin(x)

distribute

sin^2 θ - sin^2θ*csc^2θ

since sin^2θ*csc^2θ = 1

you end up with
sin^2 θ - 1

which is equal to -cos^2 θ

because sin^2 θ + cos^2 θ = 1 and cos^2 θ = 1 - sin^ θ

so the simplified form is:

-cos^2 θ

Answer 2

A.
1

B.

sin4 θ

C.

1 – sin2 θ

D.

sin2 θ – 1

Answer 3

Oh then they don't even want you to simplify it all the way.

Answer 4

silly answer choices..

Answer 5

refer to how he worked the problem for your answer...