Question

Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions.

sin(θ) =

cos(θ) =

tan(θ) =

csc(θ) =

sec(θ) =

cot(θ) =

Answer 1

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The point (8, -15) shows it is in 4th quadrant.

side X is 8 and side Y is -15.

We can find side R with help of Pythagorean theorem.

$R^2=8^2+(-15)^{2}=289$

Taking square root,

$R = 17$

sinΘ=$\frac{Y}{R}=\frac{-15}{17}$

cosΘ=$\frac{X}{R}=\frac{8}{17}$

tanΘ=$\frac{X}{Y}=\frac{-15}{8}$

cscΘ=$\frac{R}{X}=\frac{17}{-15}=-\frac{17}{15}$

secΘ=$\frac{R}{X}=\frac{17}{8}$

cotΘ=$\frac{X}{Y}=\frac{8}{-15}=-\frac{8}{15}$

Answer

Hope it will help :)

Answer 2

Answer:

sinΘ=  -15/17

cosΘ=  8/17

tanΘ=  -15/8

cscΘ=  -17/15

secΘ=  17/8

cotΘ= -8/15

On E2020

Have a Great DAY! :)