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Algebra 3/4 : Basic Trigonometry

Study concepts, example questions & explanations for Algebra 3/4

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Example Questions

Example Question #1 : Basic Trigonometry

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

Possible Answers:

$90^\circ$

$135^\circ$

$45^\circ$

$180^\circ$

$30^\circ$

Correct answer:

$90^\circ$

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

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

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

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Example Question #2 : Basic Trigonometry

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

Possible Answers:

$270^\circ$

$315^\circ$

$135^\circ$

$180^\circ$

$150^\circ$

Correct answer:

$270^\circ$

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

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

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

Report an Error

Example Question #3 : Basic Trigonometry

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

Possible Answers:

$180^\circ$

$90^\circ$

$45^\circ$

$30^\circ$

$135^\circ$

Correct answer:

$90^\circ$

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

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

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

Report an Error

Example Question #4 : Basic Trigonometry

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

Possible Answers:

$135^\circ$

$180^\circ$

$315^\circ$

$150^\circ$

$270^\circ$

Correct answer:

$270^\circ$

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

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

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

Report an Error

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Algebra 3/4 : Basic Trigonometry

Study concepts, example questions & explanations for Algebra 3/4

All Algebra 3/4 Resources

Example Questions

Example Question #1 : Basic Trigonometry

Example Question #2 : Basic Trigonometry

Example Question #3 : Basic Trigonometry

Example Question #4 : Basic Trigonometry

All Algebra 3/4 Resources

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