5.6: Solving Trig Equations

5.6: Solving Trig Equations

Multiple Choice

$$\sin\left(x\right)+\sqrt{2}=-\sin\left(x\right)$$  

• $$-\frac{\pi}{4}\ \&\ \frac{\pi}{4}$$  

• $$\frac{5\pi}{4}\ \&\ \frac{7\pi}{4}$$  

• $$\frac{3\pi}{4\ }\ \&\ \frac{\pi}{4}$$  

• $$\pi\ \&\ 2\pi$$  

Multiple Select

Solve

$$4\sin^2\left(x\right)-3=0$$  

• $$\frac{\pi}{3}$$  

• $$\frac{5\pi}{3}\ \&\ \frac{4\pi}{3}$$  

• $$\frac{\pi}{3}\ \&\ \frac{2\pi}{3}$$  

• $$-\frac{\pi}{3}$$  

Multiple Select

Solve

$$3\tan^2\left(x\right)-1=0$$  

• $$\frac{\pi}{6}\ \&\ \frac{11\pi}{6}$$  

• $$-\frac{\pi}{6}\ \&\ \frac{5\pi}{6}$$  

•   $$\frac{5\pi}{6}\&\ \frac{7\pi}{6}$$  

• $$0\ \&\ \pi$$  

Multiple Select

Solve

$$\frac{\cos^3\left(x\right)}{\sin\left(x\right)}=\cot\left(x\right)$$  

• $$0$$  

• $$\frac{\pi}{2}$$  

• $$\pi$$  

• $$\frac{3\pi}{2}$$  

• $$2\pi$$  

Multiple Select

Solve

$$2\sin^2\left(x\right)+\sin\left(x\right)=1$$  

• $$\frac{\pi}{3}$$  

• $$\frac{\pi}{6}$$  

• $$\frac{5\pi}{6}$$  

• $$\frac{\pi}{2}$$  

• $$\frac{3\pi}{2}$$