If sin Θ = 2 over 3 and tan Θ < 0, what is the value of cos Θ?

square root 5 over 2

negative square root of 5

square root of 5 over 3

negative square root of 5 over 3

If sin Θ is positive and tan Θ is negative, then the angle should be in the second quadrant using the rule of thumb. In this case, cos Θ is expected to be negative. Using the calculator, the answer is - 0.7454. This is equivalent to option D. negative square root of 5 over 3