## Algebra and Trigonometry 10th Edition

a) $\sqrt {2} \sin \theta+\dfrac{\pi}{4}$ b) $\sqrt {2} \cos \theta -\dfrac{\pi}{4}$
a) We need to plug data into the given equation. $y=\sqrt {(1)^2+(1)^2} \sin \theta+\arctan (1)$ This implies that $y=\sqrt {2} \sin \theta+\dfrac{\pi}{4}$ b) We need to plug data into the given equation. $y=\sqrt {(1)^2+(1)^2} \cos \theta -\arctan (1)$ This implies that $y=\sqrt {2} \cos \theta -\dfrac{\pi}{4}$