All High School Math Resources
Example Questions
Example Question #1 : Trigonometric Equations
If , find .
1
-2
2
-1
0
2
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?
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?
For this problem we will use the cosine function as .
Plug in our given information:
Example Question #1 : Solving Trigonometric Equations
In a right triangle, if
and
then what does equal?
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 : Trigonometric Equations
If , find the value of the function .
1
We can write:
We can also write:
Now we can substitute the values of (sinx - cosx) and (sinx * cosx) in the obtained function: