Exploring SOH CAH TOA and Its Reciprocals

The video tutorial covers reciprocal trigonometric functions and their application using the SOHCAHTOA method. It begins with a review of triangle properties, including labeling sides and angles. The lesson then explains angle measurements in degrees, minutes, and seconds, and how to round them. The core of the lesson focuses on reciprocal trig functions, such as sine, cosine, and tangent, and their reciprocals. Example problems are solved to illustrate these concepts, and the use of calculators for evaluating trig functions is demonstrated.

In a triangle, how are the sides and angles labeled?

• Both sides and angles with lowercase letters

• Both sides and angles with capital letters

• Sides with lowercase letters, angles with capital letters

• Sides with capital letters, angles with lowercase letters

If angle A is 30 degrees, angle B is 80 degrees, and angle C is 70 degrees, what is the length of side a if it is opposite angle A?

• 5

• Cannot be determined

• 10

• 6

How many minutes are in one degree?

• 120

• 90

• 60

• 30

What is the correct way to round 25 degrees, 17 minutes, and 5.93 seconds to the nearest minute?

• 25 degrees, 18 minutes

• 25 degrees, 16 minutes

• 25 degrees, 17 minutes

• 25 degrees, 17 minutes, 6 seconds

Which of the following pairs are reciprocal trig functions?

• Sine and Cosecant

• Tangent and Cosecant

• Cosine and Cotangent

• Sine and Secant

What is the reciprocal of cosine?

• Secant

• Cosecant

• Tangent

• Cotangent

Given a triangle with sides 5, 12, and 13, what is the sine of the angle opposite the side of length 5?

• 12/13

• 5/13

• 13/5

• 5/12

How do you rationalize the denominator of 2/√3?

• Multiply by √3/√3

• Multiply by 3/3

• Multiply by 1/√3

• Multiply by 2/2

What is the reciprocal of tangent?

• Secant

• Cosine

• Cosecant

• Cotangent

How would you input cosecant of 15 degrees into a calculator?

• 1/cos(15)

• 1/tan(15)

• 1/sin(15)

• 1/sec(15)