Trigonometric Functions and Their Reciprocals

The video tutorial explains how to find reciprocal values on the unit circle for special right triangles, covering angles of 30, 45, and 60 degrees, as well as axis points. It details the relationships between sine, cosine, tangent, and their reciprocals: cosecant, secant, and cotangent. The tutorial also covers how to determine reference angles, the significance of quadrants in determining signs, and the use of radians. Practical examples are provided to illustrate these concepts.

What is the reciprocal of the sine function?

• Tangent

• Cotangent

• Cosecant

• Secant

Which trigonometric function is the reciprocal of cosine?

• Cosecant

• Secant

• Tangent

• Cotangent

What is the reciprocal of the tangent function?

• Cotangent

• Sine

• Secant

• Cosecant

In which quadrant are all trigonometric functions positive?

• First

• Second

• Fourth

• Third

What is the reference angle for 480 degrees?

• 30 degrees

• 45 degrees

• 120 degrees

• 60 degrees

How do you determine the sign of a trigonometric function in a quadrant?

• By the axis

• By the quadrant

• By the reference angle

• By the angle

What is the cosecant of -330 degrees?

• -1

• -2

• 2

• 1

Which finger represents 30 degrees in the hand trick?

• Thumb

• Ring

• Pointer

• Middle

What is the reference angle for -495 degrees?

• 60 degrees

• 90 degrees

• 45 degrees

• 30 degrees

How do you simplify the expression for cotangent?

• Cancel the twos

• Add the twos

• Divide by 2

• Multiply by 2