Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
sec(θ) cos(θ)/cot(θ) = tan(θ)
Multiply both sides by cot(θ):
cos(θ) sec(θ) = ^?cot(θ) tan(θ)
Write cotangent as cosine/sine, secant as 1/cosine and tangent as sine/cosine:
1/cos(θ) cos(θ) = ^?cos(θ)/sin(θ) sin(θ)/cos(θ)
cos(θ) (1/cos(θ)) = 1:
1 = ^?(cos(θ)/sin(θ)) (sin(θ)/cos(θ))
(cos(θ)/sin(θ)) (sin(θ)/cos(θ)) = 1:
1 = ^?1
The left hand side and right hand side are identical:
Answer: (identity has been verified)
