Basic Trigonometry

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What is the degree equivalent for an angle that is $\frac{\pi}{2}$ radians?

$90^\circ$

CORRECT

$180^\circ$

$45^\circ$

$30^\circ$

$135^\circ$

Explanation

To find the degree equivalent for an angle that is $\frac{\pi}{2}$ radians first recall the unit conversion between degrees and radians.

There are 360 degrees or $2\pi$ radians in a circle.

When simplified this is,

$\pi=180^\circ$

therefore to convert from radians to degrees, simply multiply by $\frac{180^\circ}{\pi}$ .

$\frac{\pi}{2}\times \frac{180^\circ}{\pi}$

$\frac{180^\circ}{2}=90^\circ$

What is the degree equivalent for an angle that is $\frac{3\pi}{2}$ radians?

$270^\circ$

CORRECT

$150^\circ$

$180^\circ$

$315^\circ$

$135^\circ$

Explanation

To find the degree equivalent for an angle that is $\frac{\pi}{2}$ radians first recall the unit conversion between degrees and radians.

There are 360 degrees or $2\pi$ radians in a circle.

When simplified this is,

$\pi=180^\circ$

therefore to convert from radians to degrees, simply multiply by $\frac{180^\circ}{\pi}$ .

$\frac{3\pi}{2}\times \frac{180^\circ}{\pi}$

$\frac{3\cdot 180^\circ}{2}=270^\circ$

What is the degree equivalent for an angle that is $\frac{\pi}{2}$ radians?

$90^\circ$

CORRECT

$180^\circ$

$45^\circ$

$30^\circ$

$135^\circ$

Explanation

To find the degree equivalent for an angle that is $\frac{\pi}{2}$ radians first recall the unit conversion between degrees and radians.

There are 360 degrees or $2\pi$ radians in a circle.

When simplified this is,

$\pi=180^\circ$

therefore to convert from radians to degrees, simply multiply by $\frac{180^\circ}{\pi}$ .

$\frac{\pi}{2}\times \frac{180^\circ}{\pi}$

$\frac{180^\circ}{2}=90^\circ$

What is the degree equivalent for an angle that is $\frac{3\pi}{2}$ radians?

$270^\circ$

CORRECT

$150^\circ$

$180^\circ$

$315^\circ$

$135^\circ$

Explanation

To find the degree equivalent for an angle that is $\frac{\pi}{2}$ radians first recall the unit conversion between degrees and radians.

There are 360 degrees or $2\pi$ radians in a circle.

When simplified this is,

$\pi=180^\circ$

therefore to convert from radians to degrees, simply multiply by $\frac{180^\circ}{\pi}$ .

$\frac{3\pi}{2}\times \frac{180^\circ}{\pi}$

$\frac{3\cdot 180^\circ}{2}=270^\circ$

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