Mathematics: The angle θ is in the first quadrant of the unit circle and tan(θ)= [tex]rac{8}{15}[/tex] .since tan(θ)=[tex]rac{sin(θ)}{cos(θ)}[/tex] , does this mean that sin(θ)=8 and cos(θ)=15? if not, clearly explain and give the exact values of sin(θ) and cos(θ).

The formula for lateral surface area of a cylinder is 2πrh. the formula for total surface area of a cylinder is 2πrh + 2πr^2...

The angle θ is in the first quadrant of the unit

Ответ:

pattydixon6

10.01.2022

Mathematics

$\sin(\theta)=0.47$ and $\cos(\theta)=0.88$ .

Step-by-step explanation:

Given:

Angle lies in first quadrant.

$\tan\theta=\frac{8}{15}$

Since, $\tan\theta=\frac{\cos(\theta}{\sin(\theta)}$ this does not mean that $\sin(\theta)=8$ and $\cos(\theta)=15$ , because it is the ratio of the $\sin(\theta)$ and $\cos(\theta)$ which is not necessarily the exact values of them. And also $\sin(\theta)$ and $\cos(\theta)$ values lie between $-1 \ to\ 1$ and so it cannot be $=8\ or\ 15$ .