Math  /  Word Problems

QuestionFind the other trigonometric functions of θ\theta if sinθ=36\sin \theta=-\frac{\sqrt{3}}{6} and cosθ>0\cos \theta>0.

Studdy Solution
Rationalize the denominators.
cscθ=23,secθ=6311,cotθ=11\csc \theta = -2\sqrt{3}, \sec \theta = \frac{6\sqrt{3}}{11}, \cot \theta = -\sqrt{11}So, the exact values of the trigonometric functions of θ\theta arecosθ=336,tanθ=1111,cscθ=23,secθ=6311,cotθ=11\cos \theta = \frac{\sqrt{33}}{6}, \tan \theta = -\frac{\sqrt{11}}{11}, \csc \theta = -2\sqrt{3}, \sec \theta = \frac{6\sqrt{3}}{11}, \cot \theta = -\sqrt{11}

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