Trigonometric Functions and Inverses

The video tutorial explains how to find angles in a right triangle using trigonometric functions. It covers the use of inverse trigonometric functions such as arc sine, arc cosine, and arc tangent to calculate angles when given two sides of a triangle. The tutorial provides examples using cosine for adjacent and hypotenuse, sine for opposite and hypotenuse, and tangent for opposite and adjacent. It also includes a practical example of using tangent to determine the angle a pilot should turn to head directly towards an airport.

What is the primary purpose of using trigonometry in right triangles?

• To find the perimeter of the triangle

• To determine the angles of the triangle

• To calculate the area of the triangle

• To find the length of the sides

Which of the following is NOT an inverse trigonometric function?

• Arc sine

• Arc cosine

• Arc tangent

• Arc secant

What does the inverse trigonometric function help you find?

• The length of a side

• The measure of an angle

• The area of a triangle

• The hypotenuse of a triangle

What is the inverse function of sine called?

• Arc cotangent

• Arc sine

• Arc cosine

• Arc tangent

What is the inverse function of cosine called?

• Arc tangent

• Arc cosine

• Arc sine

• Arc secant

What is the inverse function of tangent called?

• Arc cosine

• Arc sine

• Arc cotangent

• Arc tangent

When using cosine to find an angle, which sides of the triangle are involved?

• All three sides

• Opposite and adjacent

• Adjacent and hypotenuse

• Opposite and hypotenuse

If the adjacent side is 8 and the hypotenuse is 9, what is the angle using cosine?

• 90 degrees

• 61 degrees

• 45 degrees

• 27.3 degrees

Which trigonometric function involves the ratio of adjacent to hypotenuse?

• Cosine

• Sine

• Tangent

• Secant

Which trigonometric function is used when you have the opposite and hypotenuse?

• Secant

• Tangent

• Sine

• Cosine