High School Math : Trigonometry

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #81 : Pre Calculus

Find a coterminal angle for 

Possible Answers:

Correct answer:

Explanation:

Coterminal angles are angles that, when drawn in the standard position, share a terminal side. You can find these angles by adding or subtracting 360 to the given angle. Thus, the only angle measurement that works from the answers given is 

Example Question #26 : Graphing The Sine And Cosine Functions

Which of the following angles is coterminal with  ?

Possible Answers:

Each angle given in the other choices is coterminal with .

Correct answer:

Each angle given in the other choices is coterminal with .

Explanation:

For an angle to be coterminal with , that angle must be of the form  for some integer  - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all four choices.

 

:

 

:

 

:

 

:

 

All four choices pass the test, so all four angles are coterminal with .

Example Question #11 : Angles

Possible Answers:

Correct answer:

Explanation:

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Example Question #1 : Understanding Coterminal Angles

Which of the following choices represents a pair of coterminal angles?

Possible Answers:

Correct answer:

Explanation:

For two angles to be coterminal, they must differ by  for some integer  - or, equivalently, the difference of the angle measures multiplied by must be an integer. We apply this test to all five choices.

 

:

 

:

 

:

 

:

 

:

 

The only angles that pass the test - and are therefore coterminal - are .

Example Question #11 : Angles

Which one of these is positive in quadrant III?

Possible Answers:

Sine

All trig functions

Cosine

Tangent

No trig functions

Correct answer:

Tangent

Explanation:

The pattern for positive functions is All Student Take Calculus. In quandrant I, all trigonometric functions are positive. In quadrant II, sine is positive. In qudrant III, tangent is positive. In quadrant IV, cosine is positive.

Example Question #21 : Trigonometry

What is ?

Possible Answers:

Correct answer:

Explanation:

If you examine the unit circle, you'll see that the the . If you were to graph a sine function, you would also see that it crosses through the point .

Example Question #2 : Using The Unit Circle

What is ?

Possible Answers:

Correct answer:

Explanation:

If you look at the unit circle, you'll see that . You can also think of this as the cosine of , which is also .

Example Question #1 : Using The Unit Circle

What is ?

Possible Answers:

Correct answer:

Explanation:

If you look at the unit circle, you'll see that . You can also think of this as the sine of , which is also .

Example Question #4 : Using The Unit Circle

What is ?

Possible Answers:

Correct answer:

Explanation:

Using the unit circle, . You can also think of this as the cosine of , which would also be .

Example Question #5 : Using The Unit Circle

What is ?

Possible Answers:

Correct answer:

Explanation:

Using the unit circle, you can see that . If you were to graph a cosine function, you would also see that it crosses through the point .

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