When Θ = 5 pi over 3, what are the reference angle and the sign values for sine, cosine, and tangent?

Θ'= pi over 3, cosine is positive, sine and tangent are negative
Θ'= 5 pi over 3, sine and cosine are positive, tangent is negative
Θ'= negative pi over 3, sine and cosine are positive, tangent is negative
Θ' = negative 5 pi over 3, cosine is positive, sine and tangent are negative

Question

When Θ = 5 pi over 3, what are the reference angle and the sign values for sine, cosine, and tangent?

 Θ'= pi over 3, cosine is positive, sine and tangent are negative
 Θ'= 5 pi over 3, sine and cosine are positive, tangent is negative
 Θ'= negative pi over 3, sine and cosine are positive, tangent is negative
 Θ' = negative 5 pi over 3, cosine is positive, sine and tangent are negative

anonymous · Answer

@SolomonZelman

campbell_st · Answer

quadrants of the unit circle

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which quadrant is 5/3 pi in..?

then you'll know the signs of the ratios

remember  if x is the reference angle

                   2nd quadrant      pi - x
                   3rd quadrant       pi + x
                   4th quadrant      2pi - x

hope it helps...