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)

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

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.

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

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 thea = 3pie/4 in standard position. What are the signs of the values of x and y?

x is negative, and y is positive.