All High School Math Resources
Example Questions
Example Question #1 : Triangles
In this figure, side , , and . What is the value of angle ?
Undefined
Since , we know we are working with a right triangle.
That means that .
In this problem, that would be:
Plug in our given values:
Example Question #1 : Applying Trigonometric Functions
Let ABC be a right triangle with sides = 3 inches, = 4 inches, and = 5 inches. In degrees, what is the where is the angle opposite of side ?
We are looking for . Remember the definition of in a right triangle is the length of the opposite side divided by the length of the hypotenuse.
So therefore, without figuring out we can find
Example Question #1 : Trigonometric Functions
In this figure, if angle , side , and side , what is the measure of angle ?
Undefined
Since , we know we are working with a right triangle.
That means that .
In this problem, that would be:
Plug in our given values:
Example Question #1 : Graphing The Sine And Cosine Functions
In this figure, , , and . What is the value of angle ?
Undefined
Notice that these sides fit the pattern of a 30:60:90 right triangle: .
In this case, .
Since angle is opposite , it must be .
Example Question #1 : Right Triangles
A triangle has angles of . If the side opposite the angle is , what is the length of the side opposite ?
The pattern for is that the sides will be .
If the side opposite is , then the side opposite will be .