MATHEMATICS HIGH SCHOOL

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) =

Answers

Answer 1
Answer:

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=(Y)/(R)=(-15)/(17)

cosΘ=(X)/(R)=(8)/(17)

tanΘ=(X)/(Y)=(-15)/(8)

cscΘ=(R)/(X)=(17)/(-15)=-(17)/(15)

secΘ=(R)/(X)=(17)/(8)

cotΘ=(X)/(Y)=(8)/(-15)=-(8)/(15)

Answer

Hope it will help :)

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