When Θ = 5 pi over 6, what are the reference angle and the sign values for sine, cosine, and tangent? 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:Option C is correct.Step-by-step explanation:[tex]\theta=\frac{5\pi }{6}[/tex]We need to find reference angle and signs of sinФ, cosФ and tanФ We know that [tex]\theta=\frac{5\pi }{6}radians[/tex] is equal to 150°and 150° is in 2nd quadrant.So, Ф is in 2nd quadrant.And In 2nd quadrant sine is positive, while cos and tan are negativeThe reference angle Ф' is found by: π - Ф=> Ф = 5π/6so, Reference angle Ф' = π - 5π/6Ф' = 6π - 5π/6Ф' = π/6So, Option C Θ' = pi over 6; sine is positive, cosine and tangent are negative is correct.