Trigonometric Functions and Identities

The video tutorial explains how to find the six trigonometric ratios for a given point on the unit circle. It starts by identifying the point's coordinates as cosine and sine values. The tutorial then covers reciprocal identities, showing how to calculate cosecant and secant. It provides a detailed explanation of calculating tangent by dividing sine by cosine and simplifying the result. Finally, it discusses finding cotangent as the reciprocal of tangent, emphasizing the importance of understanding these relationships on the unit circle.

What is the task given in the problem related to the unit circle?

• Determine the radius of the unit circle.

• Calculate all six trigonometric ratios for a given point.

• Identify the center of the unit circle.

• Find the coordinates of a point on the unit circle.

Which value corresponds to the cosine in the given point on the unit circle?

• One

• Zero

• Positive 21/29

• Negative 20/29

What is the sine value for the given point on the unit circle?

• Positive 21/29

• Negative 20/29

• Zero

• One

What is the reciprocal identity of sine called?

• Cosecant

• Cotangent

• Secant

• Tangent

How do you find the secant of an angle?

• By taking the reciprocal of sine

• By taking the reciprocal of cosine

• By taking the reciprocal of cotangent

• By taking the reciprocal of tangent

What is the relationship between sine and cosecant?

• Cosecant is the square of sine

• Cosecant is the reciprocal of sine

• Cosecant is the difference between sine and cosine

• Cosecant is the sum of sine and cosine

What is the formula for calculating tangent using sine and cosine?

• Sine multiplied by cosine

• Sine divided by cosine

• Cosine multiplied by sine

• Cosine divided by sine

What is the first step in simplifying the tangent calculation?

• Multiply numerator and denominator by 29/21

• Subtract the cosine from sine

• Add the sine and cosine values

• Divide the sine by 29

What is the simplified value of tangent for the given point?

• Positive 20/21

• Negative 21/20

• Positive 21/20

• Negative 20/21

What is the reciprocal of tangent called?

• Secant

• Cosecant

• Cotangent

• Cosine