Question

Algebra 2 Help!

What are the sine, cosine, and tangent of 5pi/3 radians?

sin Θ = -sqrt 3/2; cos Θ = 1/2; tan Θ = -sqrt 3

sin Θ = sqrt 3/2; cos Θ = -1/2; tan Θ = sqrt 3

sin Θ = sqrt 3/2; cos Θ = 1/2; tan Θ = sqrt 3

sin Θ = -sqrt 3/2; cos Θ = -1/2; tan Θ = -sqrt 3

Answer 1

Use the fact that 5pi/3=2pi-pi/3

Answer 2

okay

Answer 3

@ganeshie8

Answer 4

Did u try it?

Answer 5

it made no sense to me. I thought you left which is why I asked Ganeshie8

Answer 6

heard of `reference angle` before ?

Answer 7

It makes sense. Note that we know the values of only basic angles ie 0,30,45,60,90

The given value in qn is 5pi/3 so we write it as 5pi/3=2pi-pi/3

Answer 8

Yes, but I don't understand it

Answer 9

Now sin(2pi-theta)=-sin theta
cos(2pi-theta)=cos theta
tan(2pi-theta)=-tan theta

Answer 10

This helps a lot. For example now

sin 5pi/3=sin 2pi-pi/3=-sin pi/3

And we know the value of sin pi/3 as sqrt 3/2; Put a minus sign which gives you:
-sqrt 3/2;

Do the same process for cos and tan.