Question

If sin Θ = negative square root 3 over 2 and π < Θ < 3 pi over 2, what are the values of cos Θ and tan Θ?

cos Θ = negative 1 over 2; tan Θ = square root 3

cos Θ = negative 1 over 2; tan Θ = −1

cos Θ = square root 3 over 4; tan Θ = −2

cos Θ = 1 over 2; tan Θ = square root 3

Answer 1

Draw a triangle, using sin to give you two sides

Answer 2

Also, the quadrant matters. In this case, the quadrant is Q3

Answer 3

In Q3, tan and cotan are positive. Everything else is negitive

Answer 4

*negative