claudiawells5858 claudiawells5858
  • 20-06-2019
  • Mathematics
contestada

Simplify 6sin θsec θ.

Choices
A) 6 tan θ
B) 6 cos θ
C) 6 cot θ
D) 6

Respuesta :

SaniShahbaz
SaniShahbaz SaniShahbaz
  • 21-06-2019

Answer:

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

Answer Link
freckledspots freckledspots
  • 21-06-2019

Answer:

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)

Answer Link

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