Question

If angle θ is in standard position and the terminal side of θ intersects the unit circle at the point 1/dn.net/?f=%281%2F%5Csqrt%7B10%7D%2C%20-3%2F%5Csqrt%7B10%7D%29" id="TexFormula1" title="(1/\sqrt{10}, -3/\sqrt{10})" alt="(1/\sqrt{10}, -3/\sqrt{10})" align="absmiddle" class="latex-formula">
find sin θ, cos θ,and tan θ.

sin θ =


cos θ =


tan θ =

Answer 1

Answer:

Step-by-step explanation:

REcall that all the points of the unit circle have the following coordinates $(\cos \theta, \sin \theta)$, where theta is the angle in standard position (that is, with the terminal side on the given point and the initial side on the x-axis).

Then in this case we have that $\cos\theta = \frac{1}{\sqrt[]{10}}, \sin \theta =\frac{-3}{\sqrt[]{10}}$.

Recall that $\tan \theta = \frac{\sin \theta}{\cos \theta} = \frac{\frac{-3}{\sqrt[]{10}}}{\frac{1}{\sqrt[]{10}}} = -3$