Trigonometric Problem Solving Techniques

This video tutorial introduces the use of sine, cosine, and tangent to find the hypotenuse or adjacent side in right-angle triangles. It covers identifying triangle sides, applying the SOHCAHTOA mnemonic to choose the correct trigonometric function, and solving for unknown sides using equations. The video also demonstrates a quick method called the 'swapsie trick' to simplify solving equations.

What is the primary focus of this video tutorial?

• Finding the hypotenuse or adjacent side in a right-angle triangle

• Learning about the Pythagorean theorem

• Using trigonometry to solve algebraic equations

• Understanding the properties of isosceles triangles

What is the first step in solving a trigonometric problem?

• Memorizing formulas

• Drawing the triangle

• Calculating the angle

• Identifying the sides involved

Which side is always opposite the right angle in a right-angle triangle?

• Base

• Hypotenuse

• Opposite

• Adjacent

What does the mnemonic 'SOHCAHTOA' help you remember?

• The order of operations

• The types of triangles

• The properties of angles

• Which trigonometric function to use

In the context of 'SOHCAHTOA', what does 'SOH' stand for?

• Sine = Hypotenuse / Opposite

• Sine = Opposite / Adjacent

• Sine = Adjacent / Hypotenuse

• Sine = Opposite / Hypotenuse

Which sides are involved when using the sine function?

• Adjacent and Hypotenuse

• Opposite and Hypotenuse

• Opposite and Adjacent

• All three sides

What is the equation set up to find the hypotenuse using sine?

• cos(angle) = Adjacent / Hypotenuse

• tan(angle) = Opposite / Adjacent

• sine(angle) = Hypotenuse / Opposite

• sine(angle) = Opposite / Hypotenuse

What is the first step in solving the equation for x?

• Multiply both sides by x

• Add x to both sides

• Divide both sides by x

• Subtract x from both sides

After multiplying both sides by x, what is the next step to isolate x?

• Multiply both sides by sine(angle)

• Subtract sine(angle) from both sides

• Add sine(angle) to both sides

• Divide both sides by sine(angle)

What is the result of solving the equation for x?

• x = 3 / sine(40)

• x = 3 * sine(40)

• x = sine(40) / 3

• x = 3 + sine(40)