Simplify 6sin θsec θ. choices a) 6 tan θ b) 6 cos θ c) 6 cot θ d) 6

A) 6 tan θ

Step-by-step explanation:

Given Expression:

6 sin θ sec θ

= 6 sin θ (1/cosθ)

= 6 sin θ/cos θ

= 6 tan θ

In the second step, we substituted 1/cos in place of sec because cos and sec are reciprocals of each other.

In the last step, we know used the formula:

sinθ/cosθ  =  tanθ

A.

Step-by-step explanation:

sec(x)=1/cos(x)

So you have 6sin(x)*1/cos(x) which gives you 6*sin(x)/cos(x)

Since sin(x)/cos(x)=tan(x)

then you can rewrite this as 6tan(x)

the other endpoint is (0,10)

explanation is in the picture.