Trigonometric Functions and Their Applications

This video tutorial explains how to use the SOHCAHTOA equations to find missing sides and angles in right-angled triangles. It covers identifying known and unknown sides, selecting the appropriate trigonometric function (sine, cosine, or tangent), and solving for the unknown using a calculator. The video also demonstrates how to find missing angles using inverse trigonometric functions.

What is the first step in using SOHCAHTOA to find a missing side?

• Identify the sides involved

• Identify the hypotenuse

• Identify the known side

• Identify the known angle

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

• Sine

• Cosine

• Tangent

• Secant

How do you rearrange the equation to solve for a missing side using the sine function?

• Divide by the hypotenuse

• Add the hypotenuse

• Subtract the hypotenuse

• Multiply by the hypotenuse

When using the tangent function, which sides are involved?

• Adjacent and hypotenuse

• Opposite and hypotenuse

• Opposite and adjacent

• Adjacent and opposite

What is the result of 10 times the tangent of 37 degrees?

• 13.0

• 17.2

• 8.7

• 7.5

Which trigonometric function is used when the adjacent side and hypotenuse are known?

• Tangent

• Sine

• Cosecant

• Cosine

How do you solve for a missing side when the unknown is in the denominator using cosine?

• Multiply by cosine

• Divide by cosine

• Subtract cosine

• Add cosine

What is the first step in finding a missing angle when two sides are known?

• Label the sides

• Identify the hypotenuse

• Use the inverse function

• Calculate the ratio

Which function is used to find an angle when the opposite and adjacent sides are known?

• Inverse sine

• Inverse cosine

• Inverse secant

• Inverse tangent

What is the angle when the sine of the angle equals 0.5?

• 45 degrees

• 22.6 degrees

• 30 degrees

• 72.1 degrees