Evaluating The Six Trigonometric Functions Quiz

8 September 2022
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10 test answers

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question
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?
answer
x is negative, and y is positive.
question
Based on Pythagorean identities, which equation is true?
answer
cotangent-squared of theta - cosecant-squared of theta = -1
question
Keisha and David each found the same value for cosine of theta, as shown below, given sine of theta = -8/17
answer
Both procedures are correct.
question
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?
answer
(36, -77)
question
The terminal side of an angle in standard position passes through P(-3, -4). What is the value of tangent of theta?
answer
tangent of theta = 4/3
question
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?
answer
1.1916
question
Which Pythagorean identity is correct?
answer
tan-squared (theta) + 1 = sec-squared (theta)
question
Given that sine of theta = 21/29, what is the value of cosine of theta, for 0ยฐ < theta < 90ยฐ?
answer
20/29
question
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?
answer
1 + cotangent-squared of theta = cosecant-squared of theta
question
The terminal side of an angle in standard position passes through P(15, -8). What is the value of sine of theta?
answer
sine of theta = -8/17