High School Math : Trigonometric Equations

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 :Solving Trigonometric Equations

If, find.

Possible Answers:

2

-2

-1

1

0

Correct answer:

2

Explanation:

First we need to simplify each term:

So we will have:

Since we have the value of, we can divide the numerator and denominator by.

We can then substitute the value ofin the obtained function.

Example Question #2 :Trigonometric Equations

A right triangle has an angle of. If the side opposite it has a length of, what is the hypotenuse?

Possible Answers:

Correct answer:

Explanation:

For this problem we will use the sine function as.

Plug in our given information:

Example Question #1 :Trigonometric Equations

A right triangle has an angle of. If the side adjacent to it has a length of, what is the hypotenuse?

Possible Answers:

Correct answer:

Explanation:

For this problem we will use the cosine function as.

Plug in our given information:

Example Question #4 :Trigonometric Equations

In a right triangle, if

and

then what doesequal?

Possible Answers:

Correct answer:

Explanation:

One can draw a right triangle with acute anglesand. The side adjacent tois 4, and the side adjacent tois 3.

Example Question #1 :Solving Trigonometric Equations

If, find the value of the function.

Possible Answers:

1

Correct answer:

Explanation:

We can write:

We can also write:

Now we can substitute the values of (sinx - cosx) and (sinx * cosx) in the obtained function:

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