Answers LAUSD-Algebra II B Prescriptive - SummerRadian Measure

Graphing Sine and Cosine Answers

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If , which expression is equivalent to ?

StartFraction 1 Over negative three-eighths EndFraction

Negative three-eighths + 1

StartRoot 1 + StartFraction (Negative eight-thirds) squared EndRoot

(Negative three-eighths) squared + 1

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Which Pythagorean identity is correct?

sine squared (theta) + 1 = cosecant squared (theta)

tangent squared (theta) + 1 = secant squared (theta)

1 minus cotangent squared (theta) = cosecant squared (theta)

1 minus cosine squared (theta) = tangent squared (theta)

Fatima wants to find the value of , given . Which identity would be best for Fatima to use?

cosine theta = StartFraction 1 Over secant theta EndFraction

sine squared theta + cosine squared theta = 1

Cosecant theta = StartFraction r Over y EndFraction

1 + cotangent squared theta = cosecant squared theta

If , which of the following represents an approximate value of , for ?

0.7660

0.8392

1.1916

1.4198

Three trigonometric functions for a given angle are shown below.What are the coordinates of point (x, y) on the terminal ray of angle , assuming that the values above were not simplified?

(–77, –36)

(–77, 36)

(–36, 77)

(36, –77)

Given that , what is the value of , for ?

Negative StartFraction 35 Over 12 EndFraction

Negative StartFraction 12 Over 35 EndFraction

StartFraction 12 Over 35 EndFraction

StartFraction 35 Over 12 EndFraction

Keisha and David each found the same value for , as shown below, given .Keisha’s SolutionDavid’s SolutionWhose procedure is correct?

Keisha’s procedure is correct.

David’s procedure is correct.

Both procedures are correct.

Neither procedure is correct.

Given that , what is the value of , for ?

Negative StartRoot StartFraction 20 Over 29 EndFraction EndRoot

Negative StartFraction 20 Over 29 EndFraction

StartFraction 20 Over 29 EndFraction

StartRoot StartFraction 20 Over 29 EndFraction EndRoot

Based on Pythagorean identities, which equation is true?

sine squared theta minus 1 = cosine squared theta

secant squared theta minus tangent squared theta = negative 1

negative cosine squared theta minus 1 = negative sine squared theta

cotangent squared theta minus cosecant squared theta = negative 1

The point is the point at which the terminal ray of angle intersects the unit circle. What are the values for the cosine and cotangent functions for angle ?

cosine theta = Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, cotangent theta = negative 1

cosine theta = StartFraction StartRoot 2 EndRoot Over 2 EndFraction, cotangent theta = 1

cosine theta = StartFraction StartRoot 2 EndRoot Over 2 EndFraction, cotangent theta = negative one-half

cosine theta = Negative StartFraction StartRoot 2 EndRoot Over 2 EndFraction, cotangent theta = one-half

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