Trigonometric Functions and Identities

The video tutorial introduces additional trigonometric functions: cosecant, secant, and cotangent, which are the reciprocals of sine, cosine, and tangent, respectively. It begins with a recap of the main trigonometric functions and their formulas, using mnemonic expressions to aid memory. The tutorial then explains the reciprocal functions and provides example calculations to illustrate their use. The video concludes by emphasizing the importance of these functions in solving trigonometric equations and simplifying identities, despite their rare use in calculators.

Which of the following is NOT an additional trigonometric function discussed in the video?

• Cosecant

• Secant

• Cotangent

• Sine

What is the formula for sine in terms of a right triangle?

• Adjacent over Hypotenuse

• Opposite over Adjacent

• Opposite over Hypotenuse

• Hypotenuse over Opposite

The expression 'SOH' helps to remember which trigonometric function?

• Sine

• Cosine

• Tangent

• Cosecant

What does the 'A' in the expression 'CAH' stand for?

• Adjacent

• Angle

• Axis

• Area

Which trigonometric function is represented by the expression 'TOA'?

• Sine

• Cosine

• Tangent

• Secant

Cosecant is the reciprocal of which trigonometric function?

• Secant

• Tangent

• Cosine

• Sine

Secant is the reciprocal of which function?

• Sine

• Cosine

• Cosecant

• Tangent

Cotangent is the reciprocal of which trigonometric function?

• Tangent

• Sine

• Secant

• Cosine

In the triangle example, what is the value of sine theta?

• 6/8

• 8/6

• 8/7

• 7/8

What is the value of cosecant theta in the triangle example?

• 7/8

• 8/7

• 6/8

• 8/6