# Math Help - Quadratic Trigonometric Equations Help

1. ## Quadratic Trigonometric Equations Help

solve for "theta" to the nearest degree,0degrees ≤ "theta" ≤ 360degrees.

A. SIN2 "Theta" = 1

B. Tan2 "Theta" = 1

My question is that why does question A. only belong to TWO quadrants, while question B belong FOUR quadrants.

-Thanks again

2. because $\sin{\theta} = 1$ only at $\theta = \frac{\pi}{2}$

$\tan{\theta} = 1$ at $\theta = \frac{\pi}{4}$ and $\theta = \frac{5\pi}{4}$

similar argument for when they both equal -1.