Find the value of the unique real number between 0 and 2 that satisfies the given conditions.
-$\tan \theta = 1$ and $\sin \theta

Question

Find the value of the unique real number between 0 and 2 that satisfies the given conditions.
-$\tan \theta = 1$ and $\sin \theta < 0$
A) $\frac { 7 \pi } { 6 }$
B) $\frac { 5 \pi } { 4 }$
C) $\frac { 7 \pi } { 4 }$
D) $\frac { 3 \pi } { 4 }$

Quizplus · Accepted Answer

The angle $\theta$ must be in the third quadrant where both $\tan \theta = 1$ and $\sin \theta < 0$. The angle $\frac{5\pi}{4}$ satisfies these conditions.

Find the Value of the Unique Real Number Between 0 tan⁡θ=1\tan \theta = 1tanθ=1

Find the Value of the Unique Real Number Between 0 $\tan \theta = 1$