Finding Trigonometric Ratios on the Unit Circle

What is the sine of a point on the unit circle?

• The y-coordinate divided by the x-coordinate

• The y-coordinate of the point

• The x-coordinate of the point

• The x-coordinate divided by the y-coordinate

Tags

CCSS.HSF.TF.A.2

What is the relationship between sine and cosine in terms of their coordinates on the unit circle?

• Sine is the x-coordinate, while cosine is the y-coordinate

• Both sine and cosine are the x-coordinate

• Sine is the y-coordinate, while cosine is the x-coordinate

• Both sine and cosine are the y-coordinate

Tags

CCSS.HSF.TF.A.2

How do you find the tangent of a point on the unit circle?

• Add the x-coordinate to the y-coordinate

• Divide the x-coordinate by the y-coordinate

• Divide the y-coordinate by the x-coordinate

• Multiply the x-coordinate by the y-coordinate

Tags

CCSS.HSF.TF.A.2

What is the cosecant of a point on the unit circle?

• The reciprocal of the tangent

• The reciprocal of the sine

• The sine over the cosine

• The reciprocal of the cosine

Tags

CCSS.HSF.TF.A.2

How do you find the cotangent of a point on the unit circle?

• It's the reciprocal of the sine

• It's the reciprocal of the cosine

• It's the sine divided by the cosine

• It's the reciprocal of the tangent

Tags

CCSS.HSF.TF.A.2

How can you simplify a complex fraction when calculating the tangent?

• By adding 1 to both the numerator and denominator

• By dividing both the numerator and denominator by the x-coordinate

• By multiplying the numerator and denominator by the denominator of the x-coordinate

• By subtracting the denominator from the numerator

What is the first step in simplifying the tangent of a given point on the unit circle?

• Multiply the numerator and denominator by 3

• Rationalize the denominator

• Multiply the numerator and denominator by the denominator of the x-coordinate

• Divide the y-coordinate by the x-coordinate

Tags

CCSS.HSF.TF.C.8

What is the secant of a point on the unit circle equivalent to?

• The sine of the point over the cosine of the point

• The cosine of the point over the sine of the point

• 1 over the cosine of the point

• 1 over the sine of the point

Tags

CCSS.HSF.TF.A.2

Why do we rationalize the denominator when calculating trigonometric ratios?

• To simplify the expression to a decimal

• To eliminate the square root from the numerator

• To eliminate the square root from the denominator

• To make the expression more complex

When calculating secant, why do we flip the fraction representing the cosine?

• To convert it into a decimal

• To simplify the fraction

• To find the reciprocal value of cosine

• To make it easier to rationalize the denominator

Tags

CCSS.HSF.TF.A.2