HPC Section 5.3 Solving Trig Equations Part 2

HPC Section 5.3 Solving Trig Equations

Part 2

Multiple Select

$$.$$ Solve: $$4\tan^2x-4=0,\ \ \ For\ All\ x:\ \ 0\le x<2\pi$$  

• $$\frac{\pi}{4}$$  

• $$\frac{3\pi}{4}$$  

• $$\frac{5\pi}{4}$$  

• $$\frac{7\pi}{4}$$  

​Solve: 2cos²x + cos x - 1 = 0

Multiple Select

$$2\sin^2x-\sin x-1=\ 0$$  

Solve for x: $$0\le x<2\pi$$  

• $$\frac{11\pi}{6}$$  

• $$\frac{7\pi}{6}$$  

• $$\frac{5\pi}{3}$$  

• $$\frac{4\pi}{3}$$  

• $$\frac{\pi}{2}$$  

​Solve: 2cos²x + 3sin x - 3 = 0

Multiple Select

 Solve: $$0\le x<2\pi$$  

$$2\sin^2x+3\cos x=3$$  

• $$\frac{\pi}{3}$$  

• $$\frac{5\pi}{3}$$  

• $$\frac{2\pi}{3}$$  

• $$\frac{\pi}{2}$$  

• $$0$$  

Multiple Select

$$S$$ olve the equation: $$\cos x+1=\sin x$$ for all x: $$0\le x<2\pi$$  

• $$\frac{\pi}{2}$$  

• $$\frac{3\pi}{2}$$  

• $$\pi$$  

• $$0$$  

• $$2\pi$$