Math  /  Trigonometry

QuestionFind the exact values of the six trigonometric functions for the angle θ\theta with the point (4, -5) on its terminal side.

Studdy Solution
Substitute the calculated tanθ\theta value into the equation.
cotθ=54=45cot\theta = \frac{}{\frac{-5}{4}} = -\frac{4}{5}So, the six trigonometric functions of θ\theta aresinθ=541sin\theta = \frac{-5}{\sqrt{41}}cosθ=441cos\theta = \frac{4}{\sqrt{41}}tanθ=54tan\theta = \frac{-5}{4}cscθ=415csc\theta = -\frac{\sqrt{41}}{5}secθ=414sec\theta = \frac{\sqrt{41}}{4}cotθ=45cot\theta = -\frac{4}{5}

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