Trigonometric Functions and Ratios

The video tutorial introduces the concept of trigonometry, focusing on using SOHCAHTOA to find angles in triangles. It explains how to identify the opposite, adjacent, and hypotenuse sides and apply sine, cosine, and tangent functions. The tutorial provides step-by-step instructions on using calculators to find angles, with examples demonstrating the process. Advanced examples are included to reinforce understanding and application of trigonometric functions.

What is the primary purpose of trigonometry in the context of triangles?

• To find the area of a triangle

• To find the volume of a triangle

• To find the angles of a triangle

• To find the perimeter of a triangle

What is the mnemonic used to remember the trigonometric ratios?

• SAS Postulate

• Quadratic Formula

• Pythagorean Theorem

• SOHCAHTOA

Which trigonometric function is used when you have the opposite and hypotenuse of a triangle?

• Sine

• Cosine

• Tangent

• Secant

If the opposite side is 3 and the hypotenuse is 5, what is the sine of the angle?

• 0.75

• 0.8

• 0.5

• 0.6

What is the first step to find an angle using a calculator with sine?

• Press the divide button

• Press the multiply button

• Press the shift or second function button

• Press the add button

What angle do you get when you calculate sin⁻¹(3/5)?

• 60 degrees

• 36.87 degrees

• 30 degrees

• 45 degrees

Which trigonometric function is used when you have the opposite and adjacent sides of a triangle?

• Sine

• Cosecant

• Cosine

• Tangent

If the opposite side is 7 and the adjacent side is 10, what is the tangent of the angle?

• 0.8

• 0.7

• 0.75

• 0.5

What angle do you get when you calculate tan⁻¹(7/10)?

• 45 degrees

• 35 degrees

• 60 degrees

• 30 degrees

What is the result of tan⁻¹(7/10) rounded to the nearest whole number?

• 35 degrees

• 40 degrees

• 45 degrees

• 30 degrees