Evaluating the Six Trigonometric Functions - Quiz

Three trigonometric functions for a given angle are shown below. sine of theta = -77/85 cosine of theta = 36/85 tangent of theta = -77/36 What are the coordinates of point (x, y) on the terminal ray of angle theta, assuming that the values above were not simplified?

(36, -77)

Given that secant of theta = -37/12, what is the value of cotangent of theta , for pi/2 < theta < pi?

-12/35

Fatima wants to find the value of sine of theta, given cotangent of theta = 4/7 Which identity would be best for Fatima to use?

1 + cotangent-squared of theta = cosecant-squared of theta

If sine of theta equals -0.7660, which of the following represents an approximate value of tangent of theta, for 180 degrees < theta < 270 degrees?

1.1916

If tangent of theta = -3/8, which expression is equivalent to cotangent of theta?

1/(-3/8)

Given that sine of theta = 21/29, what is the value of cosine of theta, for 0° < theta < 90°?

20/29

Keisha and David each found the same value for cosine of theta, as shown below, given sine of theta = -8/17

Both procedures are correct.

Francesca drew point (-2, -10) on the terminal ray of angle theta, which is in standard position. She found values for the six trigonometric functions using the steps below.

D) step 3

The point (-sqrt of 2/2, sqrt of 2/2) is the point at which the terminal ray of angle theta intersects the unit circle. What are the values for the cosine and cotangent functions for angle theta?

cosine of theta = -sqrt2/2, cotangent of theta=-1

Based on Pythagorean identities, which equation is true?

cotangent-squared of theta - cosecant-squared of theta = -1

The terminal side of an angle in standard position passes through P(15, -8). What is the value of sine of theta?

sine of theta = -8/17

Given that tangent of theta = -1, what is the value of secant of theta, for 3pi/2 < theta < 2pi?

sqrt of 2

Which Pythagorean identity is correct?

tan-squared (theta) + 1 = sec-squared (theta)

The terminal side of an angle in standard position passes through P(-3, -4). What is the value of tangent of theta?

tangent of theta = 4/3

The point P(x, y) lies on the terminal side of an angle theta = 3pi/4 in standard position. What are the signs of the values of x and y?

x is negative, and y is positive.

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

x is positive, and y is negative.