Answers TN-Algebra II B SC 26-27 For CreditEvaluating the Six Trigonometric Functions

Evaluating the Six Trigonometric Functions Answers

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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)

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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.

The point P(x, y) lies on the terminal side of an angle = in standard position. What are the signs of the values of x and y?

Both x and y are positive.

Both x and y are negative.

x is positive, and y is negative.

x is negative, and y is positive.

The point P(x, y) lies on the terminal side of an angle = –60° in standard position. What are the signs of the values of x and y?

Both x and y are positive.

Both x and y are negative.

x is positive, and y is negative.

x is negative, and y is positive.

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)

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 ?