Understanding Right Triangles and Trigonometry

This video tutorial covers the basics of right triangles, focusing on their sides and the use of trigonometric functions such as sine, cosine, and tangent. It introduces the mnemonic SOHCAHTOA to help remember these functions and explains how to use them to find missing angles and sides. The Pythagorean Theorem is also discussed, along with the use of inverse trig functions to determine unknown angles. The tutorial emphasizes the importance of these concepts in AP Physics 1.

What is the longest side of a right triangle called?

• Opposite

• Base

• Adjacent

• Hypotenuse

Which mnemonic helps remember the basic trigonometric functions?

• FOIL

• SOHCAHTOA

• BODMAS

• PEMDAS

Why is the 90-degree angle not used in trigonometric calculations?

• It is always the smallest angle

• It is always the largest angle

• Its sine and cosine values are not useful

• It is not part of the triangle

What is the sine of a 30-degree angle?

• 0.5

• 1

• 0.866

• 0.707

What does the Pythagorean theorem help you find in a right triangle?

• The area of the triangle

• The length of a side

• The perimeter of the triangle

• The measure of an angle

Which formula represents the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 = 2c

• a^2 = b^2 + c^2

How do you find an angle using inverse sine?

• Multiply the opposite by the adjacent

• Multiply the opposite by the hypotenuse

• Divide the opposite by the hypotenuse

• Divide the hypotenuse by the opposite

Which trigonometric function would you use if you know the opposite and adjacent sides?

• Secant

• Cosine

• Tangent

• Sine

What is the inverse function of cosine used for?

• Finding the length of a side

• Finding the measure of an angle

• Calculating the area

• Determining the hypotenuse

If you have the adjacent and hypotenuse, which function should you use?

• Cosecant

• Tangent

• Cosine

• Sine