Trigonometric Functions and Angles

Mr. Mack explains how to use inverse trigonometric ratios to find missing angles in right triangles. He demonstrates this with three examples, using tangent, sine, and cosine functions to calculate angles A, B, and E, respectively. Each example involves setting up the appropriate trigonometric equation, converting fractions to decimals, and using a calculator to find the angle using inverse functions.

What are the lengths of the vertical and horizontal sides in the first example?

• 10 and 15

• 25 and 30

• 15 and 20

• 20 and 25

Which trigonometric function is used to find angle A in the first example?

• Secant

• Tangent

• Cosine

• Sine

What is the decimal equivalent of the fraction 3/4?

• 0.50

• 0.25

• 1.00

• 0.75

What is the measure of angle A after using the inverse tangent function?

• 36.9 degrees

• 30.5 degrees

• 45.1 degrees

• 50.2 degrees

In the second example, what are the lengths of the vertical side and the hypotenuse?

• 12 and 17

• 14 and 22

• 15 and 20

• 18 and 24

Which trigonometric function is used to find angle B in the second example?

• Tangent

• Cotangent

• Sine

• Cosine

What is the measure of angle B after using the inverse sine function?

• 39.5 degrees

• 45.1 degrees

• 36.9 degrees

• 30.5 degrees

In the third example, what are the lengths of the horizontal side and the hypotenuse?

• 10 and 15

• 12 and 17

• 14 and 22

• 18 and 24

Which trigonometric function is used to find angle E in the third example?

• Sine

• Cosine

• Tangent

• Secant

What is the measure of angle E after using the inverse cosine function?

• 36.9 degrees

• 45.1 degrees

• 39.5 degrees

• 30.5 degrees