Question

Write the following in terms of sin θ and cos θ; then simplify if possible. (Leave your answer in terms of sin θ and/or cos θ.) csc θ tan θ.

Answer 1

Answer: 1/cos θ

Step-by-step explanation:

From basic trigonometry, csc θ is the short form of cosec θ which is further expressed as

csc θ = 1/sin θ

Also,

tan θ = sin θ/cos θ

Knowing this basis of trigonometry makes the simplification easy for us.

Firstly, expressing the equation in terms of sin θ and cos θ,

The equation becomes csc θ * tan θ = [1/sin θ] * [sin θ/ cos θ]

Further simplifying by multiplication, our answer becomes

1/cos θ