High School Math : Solving Trigonometric Equations

Study concepts, example questions & explanations for High School Math

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Example Questions

Example Question #1 : Trigonometric Equations

If , find .

Possible Answers:

0

-1

2

-2

1

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 of in 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 #3 : 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 does  equal?

Possible Answers:

Correct answer:

Explanation:

One can draw a right triangle with acute angles  and . The side adjacent to  is 4, and the side adjacent to   is 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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