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
