HPC Section 5.3 Trig Equations Part 1

HPC Section 5.3 Trig Equations Part 1

​Solving Trigonometric Equations

1 - 2 cos x = 0

Solve the Equation

Multiple Choice

Given the equation 1 - 2 cosx = 0

before you can solve for x you will first have to solve the equation to find

cos x = ?

• -2

• -1/2

• 1/2

• 2

Multiple Select

Given the equation 1 - 2 cosx = 0, after you figure out that cos x = 1/2,

which angles below solve the equation?

• $$x=\ 30\degree$$

• $$x=\ 60\degree$$

• $$x=\ 120\degree$$

• $$x=\ 240\degree$$

• $$x=\ 300\degree$$

If you are asked to find all possible answers you will need the notation above.

Multiple Select

Solve for x

- 1 - Sin x = Sin x

x = ?

• $$x\ =\ 30\degree$$

• $$x\ =\ 330\degree$$

• $$x\ =\ 60\degree$$

• $$x\ =\ 210\degree$$

• $$x\ =\ 150\degree$$

Multiple Select

$$Tan^2x=3$$  Solve for x:

• $$\frac{\pi}{3}$$  

• $$\frac{2\pi}{3}$$  

• $$\frac{4\pi}{3}$$  

• $$\frac{5\pi}{3}$$  

Multiple Select

$$\sin x+\sqrt{2}=-\sin x$$  

Solve for x:

• $$\frac{\pi}{4}$$  

• $$\frac{3\pi}{4}$$  

• $$\frac{5\pi}{4}$$  

• $$\frac{7\pi}{4}$$  

Multiple Select

$$3\tan^2x-1\ =\ 0$$  Solve for x:

• $$\frac{\pi}{6}$$  

• $$\frac{5\pi}{6}$$  

• $$\frac{7\pi}{6}$$  

• $$\frac{11\pi}{6}$$  

Multiple Select

Solve for x:

$$\cot x\cos^2x=2\cot x$$

• $$\frac{\pi}{2}$$  

• $$\frac{3\pi}{2}$$  

• $$\frac{\pi}{4}$$  

• $$\frac{3\pi}{4}$$  

• $$\frac{5\pi}{4}$$  

Solve the Equation

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