Solving Right Triangles with Trigonometry

The video tutorial introduces the SOHCAHTOA acronym to help remember trigonometric functions and their corresponding side ratios in right triangles. It explains how to use these functions to solve for unknown sides using given angles and sides. The tutorial provides step-by-step examples for sine, cosine, and tangent functions, demonstrating how to set up equations and solve them using a calculator. It emphasizes the importance of correctly identifying sides and using inverse operations when solving equations.

What does the acronym SOHCAHTOA help us remember?

• The types of angles in a triangle

• The ratios of sides in a right triangle

• The names of the sides of a triangle

• The formulas for area and perimeter of a triangle

Which trig function corresponds to the ratio of the opposite side over the hypotenuse?

• Cosine

• Tangent

• Sine

• Secant

If you are given an angle and the hypotenuse, which trig function would you use to find the opposite side?

• Cosine

• Cotangent

• Sine

• Tangent

Given a right triangle with a focus angle of 32 degrees and a hypotenuse of 12 units, what is the length of the opposite side?

• 6.4

• 10.9

• 16.1

• 23.0

Which trig function relates the adjacent side and the hypotenuse?

• Cosine

• Tangent

• Secant

• Sine

What is the length of the adjacent side in a right triangle with a focus angle of 47 degrees and a hypotenuse of 16 units?

• 6.4

• 16.1

• 23.0

• 10.9

How do you solve for x when it is in the denominator of a trigonometric equation?

• Add x to both sides

• Subtract x from both sides

• Divide both sides by x

• Multiply both sides by x

Which trig function would you use to find the opposite side if you are given the adjacent side and an angle?

• Sine

• Cosine

• Tangent

• Secant

What is the length of the hypotenuse in a right triangle with an adjacent side of 23 units and a focus angle of 76 degrees?

• 95.1

• 23.0

• 10.9

• 6.4

When rounding 16.129 to one decimal place, what is the result?

• 16.3

• 16.1

• 16.2

• 16.0