Question

Find the point on the terminal side of theta= -3pi/4 that has an x coordinate of -1. Can you please show me how you solved it as well, not just the answer :).

Answer 1

Answer on Question #43698, Math, Trigonometry

Find the point on the terminal side of $\theta = -3\pi / 4$ that has an $x$ coordinate of -1. Can you please show me how you solved it as well, not just the answer :).

Solution. The point on the terminal side of $\theta = -\frac{3\pi}{4}$ lie in the third quarter, as $-\pi < -\frac{3\pi}{4} < -\frac{\pi}{2}$.

The $y$ coordinate equals $-\left(1 \cdot \tan \frac{\pi}{4}\right) = -1$. The point is $(-1, -1)$.

Answer. $(-1, -1)$.

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