Evaluating the Six Trigonometric Functions

Question 1

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?

Revolt · Accepted Answer

(36, –77)

Question 2

Which Pythagorean identity is correct?

Revolt · Accepted Answer

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

Question 3

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 ?

Revolt · Accepted Answer

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

Question 4

Given that , what is the value of , for ?

Revolt · Accepted Answer

Negative StartFraction 12 Over 35 EndFraction

Question 5

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

Revolt · Accepted Answer

1 + cotangent squared theta = cosecant squared theta

Question 6

Given that , what is the value of , for ?

Revolt · Accepted Answer

StartFraction 20 Over 29 EndFraction

Question 7

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?

Revolt · Accepted Answer

x is negative, and y is positive.

Question 8

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

Revolt · Accepted Answer

1.1916

Question 9

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?

Revolt · Accepted Answer

x is positive, and y is negative.

Question 10

Based on Pythagorean identities, which equation is true?

Revolt · Accepted Answer

cotangent squared theta minus cosecant squared theta = negative 1

Evaluating the Six Trigonometric Functions Answers

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