Math  /  Word Problems

QuestionFind all trigonometric functions of θ\theta if tanθ=43\tan \theta=\frac{4}{3} and θ\theta is in quadrant 1.

Studdy Solution
Substitute the value of tanθ\tan \theta into the formula.
cotθ=43=34\cot \theta = \frac{}{\frac{4}{3}} = \frac{3}{4}So, the exact values of the remaining trigonometric functions of θ\theta are as followssinθ=45\sin \theta = \frac{4}{5}cosθ=35\cos \theta = \frac{3}{5}cscθ=54\csc \theta = \frac{5}{4}secθ=53\sec \theta = \frac{5}{3}cotθ=34\cot \theta = \frac{3}{4}

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