Determine the quadrant of θ if cosθ=3√2 and tanθ=−1/3√ .(1 point) Responses Quadrant III Quadrant III Quadrant IV Quadrant IV Quadrant II Quadrant II Quadrant I Quadrant I
To determine the quadrant of θ, we need to consider the signs of the trigonometric functions. Given that cosθ=3√2, we know that cosθ is positive in Quadrant I and Quadrant IV.
Next, given that tanθ=−1/3√2, we see that tanθ is negative. The tangent function is negative in Quadrant II and Quadrant IV.
Therefore, the quadrant of θ is Quadrant IV.