High School Math : Trigonometry

Study concepts, example questions & explanations for High School Math

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Example Questions

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Example Question #2 : Using Pythagorean Identities

Simplify:

Possible Answers:

This is the most simplified version.

Correct answer:

Explanation:

Whenever you see a trigonometric function squared, start looking for a Pythagorean identity.

The two identities used in this problem are  and .

Substitute and solve.

Example Question #1 : Trigonometric Identities

Factor and simplify .

Possible Answers:

This is already it's most reduced form.

Correct answer:

Explanation:

To reduce , factor the numerator: 

Notice that we can cancel out a .

This leaves us with .

Example Question #1 : Trigonometric Identities

Simplify .

Possible Answers:

Correct answer:

Explanation:

To simplify , break them into their SOHCAHTOA parts:

.

Notice that the opposite's cancel out, leaving .

Example Question #1 : Using Sum And Product Identities

Simplify .

Possible Answers:

This is the most simplified version.

Correct answer:

Explanation:

Break down  into SOHCAHTOA to solve:

 and .

Therefore, . Note that the opposite's cancel out, leaving , which is the same as .

Example Question #1851 : High School Math

Possible Answers:

Correct answer:

Explanation:

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