High School Math : Solving Trigonometric Equations

Example Questions

Example Question #1 : Solving Trigonometric Equations

If , find .

2

-2

0

-1

1

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 : Solving Trigonometric Equations

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

Explanation:

For this problem we will use the sine function as .

Plug in our given information:

Example Question #3 : Solving Trigonometric Equations

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

Explanation:

For this problem we will use the cosine function as .

Plug in our given information:

Example Question #4 : Solving Trigonometric Equations

In a right triangle, if

and

then what does  equal?

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 #11 : Relations And Functions

If  , find the value of the function .

1

Explanation:

We can write:

We can also write:

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