Evaluate your six trigonometric values for an angle in the third quadrant

The video tutorial provides a step-by-step guide to evaluating all six trigonometric functions. It begins with drawing and identifying angles in radians, specifically focusing on the angle 4π/3. The tutorial then explains how to use the unit circle to find coordinate points and calculate sine, cosine, and tangent. It also covers the reciprocal trigonometric functions, including cosecant, secant, and cotangent, with detailed explanations and examples.

What is the first step in evaluating all six trigonometric functions for a given angle?

• Locate the angle on the unit circle

• Determine the quadrant of the angle

• Calculate the sine of the angle

• Find the reciprocal functions

How are the coordinates of a point on the unit circle at 60 degrees reflected in the third quadrant?

• Only the y-coordinate becomes negative

• Only the x-coordinate becomes negative

• Both coordinates become negative

• Both coordinates become positive

Which coordinate of a point on the unit circle represents the sine of the angle?

• The angle itself

• The x-coordinate

• The hypotenuse

• The y-coordinate

What is the formula for tangent in terms of x and y coordinates on the unit circle?

• y - x

• x * y

• x / y

• y / x

How do you calculate the cosecant of an angle on the unit circle?

• x-coordinate / y-coordinate

• 1 / y-coordinate

• 1 / x-coordinate

• y-coordinate / x-coordinate

What is the reciprocal of the cosine function?

• Cosecant

• Secant

• Cotangent

• Tangent

When rationalizing the denominator of a trigonometric function, what should you multiply by?

• The square root of the denominator

• The reciprocal of the denominator

• The numerator

• The original denominator