Basic Trigonometry - Algebra 3/4

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Question

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

Answer

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 $\frac{180^\circ}{\pi}$ .

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

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

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Question

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

Answer

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 $\frac{180^\circ}{\pi}$ .

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

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

Compare your answer with the correct one above

Question

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

Answer

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 $\frac{180^\circ}{\pi}$ .

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

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

Compare your answer with the correct one above

Question

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

Answer

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 $\frac{180^\circ}{\pi}$ .

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

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

Compare your answer with the correct one above

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