Math  /  Word Problems

QuestionFind all trigonometric functions for θ\theta if tanθ=34\tan \theta=-\frac{3}{4} in quadrant II.

Studdy Solution
Substitute the given value of tanθ\tan \theta into the equation for cotθ\cot \theta.
cotθ=tanθ=34=43\cot \theta = \frac{}{\tan \theta} = \frac{}{-\frac{3}{4}} = -\frac{4}{3}So, the exact values of the remaining trigonometric functions of θ\theta are secθ=54\sec \theta = -\frac{5}{4}, cscθ=54\csc \theta = -\frac{5}{4}, and cotθ=43\cot \theta = -\frac{4}{3}.

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