Question

When Θ = 5 pi over 6, what are the reference angle and the sign values for sine, cosine, and tangent? (2 points)
Θ' = negative pi over 6; sine and cosine are positive, tangent is negative.
Θ' = 5 pi over 6; sine and tangent are positive, cosine is negative
Θ' = pi over 6; sine is positive, cosine and tangent are negative
Θ' = negative 5 pi over 6; sine is positive, cosine and tangent are negative

Answer 1

Can anyone help me with this question???

Answer 2

plzz

Answer 3

I think i might be able to...

Answer 4

ok, thanks

Answer 5

Does this help?

Answer 6

Yeah, it does. Thank you so much!!

Answer 7

Ф =5π/6
The reference angle is the smallest angle that the terminal side of the angle makes with the x-axis.

Given that here π/2 < Ф < π, the angle is in the second quadrant.

In the second quadrant the signs are:

sine positive
cosine negative
tangent negative.

Furthermore, the reference angle is π - Ф = π - 5π/6 = π/6.

Then,

sin Ф = sin π/6 = 1/2
cos Ф = - cos π/6 = -√(3) / 2
tan Ф = - tan π/6 = -√(3) /3

Answer 8

No direct answers.

Answer 9

The negative sign means that the angle is measured clockwise coming from the negative x-axis making the reference angle of 5π6 5 π 6 as −30∘ or −π6.