Trigonometric Functions and Properties

The video tutorial introduces reciprocal trigonometric ratios, explaining their relationship with primary trig ratios. It covers how to derive reciprocal ratios from primary ones, such as cosecant from sine, secant from cosine, and cotangent from tangent. The tutorial includes example problems to demonstrate solving for angles using these ratios, emphasizing the importance of using calculators in degree mode. Advanced problems are also tackled, focusing on determining angles between 0 and 360 degrees using the CAST rule and special triangles.

What is the reciprocal of the sine function?

• Secant

• Cosecant

• Cotangent

• Tangent

Which of the following is the reciprocal of the cosine function?

• Cosecant

• Secant

• Sine

• Cotangent

What is the reciprocal of the tangent function?

• Cosecant

• Secant

• Cotangent

• Sine

If sine of an angle is 3/5, what is the cosecant of the same angle?

• 5/3

• 3/5

• 1/5

• 5/1

How do you convert a primary trigonometric ratio to its reciprocal?

• Add 1

• Subtract 1

• Flip the ratio

• Multiply by 2

What is the secant of an angle if the cosine is 2/5?

• 5/1

• 1/5

• 2/5

• 5/2

If the tangent of an angle is 16/5, what is the cotangent?

• 16/1

• 1/16

• 16/5

• 5/16

What is the first step in solving for an angle using reciprocal trigonometric ratios?

• Convert to primary ratio

• Draw a triangle

• Use a calculator

• Guess the angle

Why is it important to ensure your calculator is in degree mode?

• To avoid incorrect answers

• To save battery

• To make calculations faster

• To use radians

What is the approximate angle if the sine is 1/8?

• 30 degrees

• 45 degrees

• 7 degrees

• 15 degrees