Question

What are the sine, cosine, and tangent of 5 pi over 4 radians?

Answer 1

please help

Answer 2

sin(5pi/4) = sin(pi + pi/4) = -sin(pi/4) = \(\large -\dfrac{\sqrt{2}}{2}\)

Answer 3

tangent?

Answer 4

cosine?

Answer 5

work cosine same way

Answer 6

cos(5pi/4) = cos(pi + pi/4) = -cos(pi/4) = \(\large -\dfrac{\sqrt{2}}{2}\)

Answer 7

can you walk me through it please

Answer 8

so sin and cos have same values for 5pi/4 ^

Answer 9

For tan, simply take the ratio of sin and cos - you would get :
tan(5pi/4) = \(\large 1\)

Answer 10

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

Answer 11

right?

Answer 12

looks good

Answer 13

thanks

Answer 14

yw