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) =

Respuesta :

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.

[tex]R^2=8^2+(-15)^{2}=289[/tex]

Taking square root,

[tex]R = 17[/tex]

sinΘ=[tex]\frac{Y}{R}=\frac{-15}{17}[/tex]

cosΘ=[tex]\frac{X}{R}=\frac{8}{17}[/tex]

tanΘ=[tex]\frac{X}{Y}=\frac{-15}{8}[/tex]

cscΘ=[tex]\frac{R}{X}=\frac{17}{-15}=-\frac{17}{15}[/tex]

secΘ=[tex]\frac{R}{X}=\frac{17}{8}[/tex]

cotΘ=[tex]\frac{X}{Y}=\frac{8}{-15}=-\frac{8}{15}[/tex]

Answer

Hope it will help :)


Ver imagen stokholm

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! :)

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