The problem involves simplifying the trigonometric expression cscθtanθsecθ. Participants are exploring the relationships between trigonometric functions and their identities.
The discussion is ongoing, with participants providing feedback on each other's attempts. Some guidance has been offered regarding the simplification process, particularly around canceling terms. However, there is no explicit consensus on the final form of the expression.
Participants are working within the constraints of homework rules, emphasizing the need for verification of their solutions rather than providing complete answers.
You're OK to here, but not below. Why not simplify by doing some cancelling?pbonnie said:Homework Statement
Simplify the following trigonometric expression:
cscθtanθsecθ
Homework Equations
tanθ = sinθ/cosθ
sin^2θ + cos^2θ = 1
cscθ = 1/sinθ
secθ = 1/cosθ
cotθ = 1/tanθ
The Attempt at a Solution
I just want to double check my solution.
cscθtanθsecθ = 1/sinθ x sinθ/cosθ x 1/cosθ
pbonnie said:= ((sin^2θ + cos^2θ) x sinθ x 1)/sinθ x cosθ x cosθ
= sin^2θ x 1
= sin^2θ
Thank you!
pbonnie said:cscθtanθsecθ = 1/sinθ x sinθ/cosθ x 1/cosθ
= ((sin^2θ + cos^2θ) x sinθ x 1)/sinθ x cosθ x cosθ