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


Asked by maham237 @ in Mathematics viewed by 326 People


square root 5 over 2

negative square root of 5

square root of 5 over 3

negative square root of 5 over 3

Answered by maham237 @



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

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