Respuesta :

David1993
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:

 y = 1.

Step-by-step 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 = [tex]\frac{1}{cos}[/tex].

y =  [tex]\frac{1}{cos}[/tex] * cos θ.

y =  [tex]\frac{cos}{cos}[/tex].

y = 1.

Therefore,  y = 1.