SOLUTION: Evaluate the following expression. sin(90°-θ)*tan(θ)*sec(θ) A) sin(θ) B) cos(θ) C) tan(θ) D) cot(θ)

The word "cosine", "CO SINE", is an abbreviation for COmplement's SINe.

90°-θ is the COmplement of θ, so sin(90°-θ) is the 
COmplement of θ's SINe, so 

sin(90°-θ) equals cos(θ).

Therefore:

sin(90°-θ)*tan(θ)*sec(θ) = 

cos(θ)*tan(θ)*sec(θ) =

Use reciprocal identity for sec(θ):




 


Edwin