Question

Simplify the trigonometric expression. sec θ cos θ

Answer 1

Lets imagine that we have:

Y = Sec(θ).Cos(θ)

As Sec(θ) = 1/Cos(θ)

Then we stay:

Y = 1/Cos(θ). Cos(θ)

Cos(θ) from up, will cut with Cos(θ) from down.

Then,

Y = 1

Answer 2

y = 1.

Explanation:

Given : y = sec θ cos θ.

To find : Simplify the trigonometric expression.

Solution : We have given that

y = sec θ cos θ.

By the trigonometric rule : sec θ =
`(1)/(cos)`.

y =
`(1)/(cos)` * cos θ.

y =
`(cos)/(cos)`.

y = 1.

Therefore, y = 1.