Trigonometric Functions and Inverses

Mr. Kenyan Nola explains how to find the measure of an indicated angle in a right triangle using trigonometric ratios. The video covers the use of sine, cosine, and tangent functions, along with their inverses, to calculate missing angles. It includes examples demonstrating the process of setting up equations and using a calculator to find angle measures to the nearest hundredth. The video emphasizes the importance of using the inverse functions and the correct calculator buttons to obtain accurate results.

What is the first step in finding the measure of an indicated angle in a right triangle?

• Subtract from 180 degrees

• Directly calculate using a calculator

• Identify the given sides and the angle to find

• Use the Pythagorean theorem

When given the opposite side and hypotenuse, which trigonometric function is used to find the angle?

• Cosine

• Tangent

• Sine

• Secant

What is the purpose of using the inverse sine function?

• To find the measure of an angle

• To determine the area of a triangle

• To find the length of a side

• To calculate the hypotenuse

Which button on a calculator is used to access inverse trigonometric functions?

• Clear

• Mode

• Shift or Second

• Alpha

What trigonometric function is used when given the opposite and adjacent sides?

• Sine

• Cosine

• Tangent

• Cosecant

How do you find the angle using inverse tangent on a calculator?

• Press the tangent button directly

• Use the inverse tangent function after dividing the opposite by the adjacent

• Subtract the adjacent from the opposite

• Multiply the opposite and adjacent

Which trigonometric function is used when given the adjacent side and hypotenuse?

• Cotangent

• Tangent

• Cosine

• Sine

What is the final step in finding an angle using inverse cosine?

• Add the adjacent and hypotenuse

• Use the inverse cosine function on the calculator

• Subtract the hypotenuse from the adjacent

• Multiply the adjacent by the hypotenuse

What should you do if you press the wrong button on the calculator?

• Use a different calculator to verify

• Start over from the beginning

• Guess the answer

• Ignore the mistake

What is the sum of angles in a triangle?

• 90 degrees

• 270 degrees

• 360 degrees

• 180 degrees