Question

What are the sine, cosine, and tangent of Θ = 3 pi over 4 radians?

sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = -1

sin Θ = negative square root 2 over 2; cos Θ = square root 2 over 2; tan Θ = 1

sin Θ = square root 2 over 2; cos Θ = negative square root 2 over 2; tan Θ = 1

sin Θ = negative square root 2 over 2; cos Θ = square root 2 over 2; tan Θ = -1

Answer 1

`(3 \pi )/(4) * (180degrees)/( \pi ) = 135 degrees`.

Drawing a reference triangle, this is 45 degrees in the second quadrant.
See attached.

Sine theta will be opposite/hypotenuse

`= (1)/( √(2) ) * ( √(2) )/( √(2) ) = ( √(2) )/(2)`

Cosine will be adjacent/hypotenuse

`(-1)/( √(2) ) * ( √(2) )/( √(2) ) = (- √(2) )/(2)`

Tangent will be opposite/adjacent

`(1)/(-1)=-1`