High School Math : Applying Trigonometric Functions

Study concepts, example questions & explanations for High School Math

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : Applying Trigonometric Functions

Rt_triangle_lettersIn this figure, side , and . What is the value of angle ?

Possible Answers:

Undefined

Correct answer:

Explanation:

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 #2 : 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 ?

Possible Answers:

Correct answer:

Explanation:

3-4-5_triangle

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 #2 : Graphing The Sine And Cosine Functions

Rt_triangle_letters

In this figure, if angle , side , and side , what is the measure of angle ?

Possible Answers:

Undefined

Correct answer:

Explanation:

Since , we know we are working with a right triangle.

That means that .

In this problem, that would be:

Plug in our given values:

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: