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

For the answer to the question above, If cos Θ = square root 2 over 2 and 3 pi over 2 < Θ < 2π, what are the values of sin Θ and tan Θ?

If 3 pi over 2 < Θ < 2π Then the signs of sinx and tanx are both negative.

cos (x) = sqrt (2) / 2. So sin (x) = - sqrt (2) / 2 and tan (x) = - 1.

sin Θ = square root 2 over 2; tan Θ = - 1

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

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

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