Which expression is equal to tan^2ϴ cscϴ+(1/sin(ϴ))
a. sec^3 ϴ
b. csc^3 ϴ
c. csc^2 ϴ sec ϴ
d. sec^2 ϴ cscϴ
tan^2 θ * csc θ + (1 / sin θ)
[sin^2 θ / cos^2 θ] * (1/ sin θ) + (1 /sin θ) factor out 1 / sin θ
1 / sin θ [ sin ^2 θ / cos^2θ + 1 ] =
1/sin θ [ (sin^2θ + cos^2θ] / cos^2θ =
1/sin θ [ 1 / cos^2 θ ] =
cscθ * sec^2 θ =
sec^2 θ csc θ