Exploring Missing Angles in Right Triangle Trigonometry

The video tutorial covers right triangle trigonometry, focusing on using SOHCAHTOA to find missing angles. It introduces the concept of theta, explains how to set up trigonometric ratios, and demonstrates using the Desmos scientific calculator for solving problems. The tutorial includes examples of using inverse functions to find angles and provides practice problems for better understanding.

What does SOHCAHTOA stand for in trigonometry?

• Sine = Opposite/Adjacent, Cosine = Hypotenuse/Adjacent, Tangent = Hypotenuse/Opposite

• Sine = Hypotenuse/Opposite, Cosine = Hypotenuse/Adjacent, Tangent = Adjacent/Opposite

• None of the above

• Sine = Opposite/Hypotenuse, Cosine = Adjacent/Hypotenuse, Tangent = Opposite/Adjacent

What symbol is used to represent a missing angle in trigonometry?

• Theta

• Beta

• Alpha

• Gamma

In trigonometric calculations, what does the negative one exponent (-1) signify when used with a function name?

• None of the above

• Derivative of the function

• Inverse of the function

• Square of the function

Which trigonometric ratio is used when you have the lengths of the adjacent side and the hypotenuse?

• Tangent

• Cotangent

• Cosine

• Sine

How do you solve for an angle when given the ratio of sides in a right triangle using cosine?

• None of the above

• Multiply by cosine

• Divide by cosine

• Use the inverse cosine function

What is the correct expression for tangent in terms of triangle sides?

• Adjacent over Opposite

• Opposite over Adjacent

• Adjacent over Hypotenuse

• Opposite over Hypotenuse

If the adjacent side length is 11 and the hypotenuse is 15, what is the cosine of the angle?

• 11/15

• None of the above

• 15/11

• 4/15

What function would you use to find an angle if you know the sine ratio?

• Inverse cosine

• Cosine

• Inverse sine

• Sine

Which of the following is not a step in finding an angle using the tangent ratio?

• Using the inverse tangent function

• None of the above

• Identifying the opposite and adjacent sides

• Multiplying the tangent of the angle by the ratio

What unit is used to measure the angles in the examples provided in the tutorial?

• Meters

• Gradians

• Degrees

• Radians