Practice Test

Question 1

What is the exact value of sine of open paren 105 degrees close paren ?

Revolt · Accepted Answer

C: the fraction with numerator square root of 2 plus square root of 3 end root and denominator 2

Question 2

What is the value of 1 minus 2 sine squared open paren 105 degrees close paren ?

Revolt · Accepted Answer

C: 1 half

Question 3

What is the exact value of tangent of open paren 19 pi over 12 close paren ?

Revolt · Accepted Answer

C: 1 minus square root of 3

Question 4

What is the exact value of tangent of open paren 195 degrees close paren ?

Revolt · Accepted Answer

C: the fraction with numerator square root of 3 minus 1 and denominator 1 plus square root of 3

Question 5

Which statement is true about the graph of the equation y is equal to cosecant inverse of x ?

Revolt · Accepted Answer

B: There is a horizontal asymptote at  y is equal to 0 .; D: There is a horizontal asymptote at  y is equal to pi over 2 .

Question 6

Which is the graph of y is equal to arctan times x ?

Revolt · Accepted Answer

D: Image with description A coordinate plane. The graph starts and rises to (negative 4 pi comma 1.5). It falls through (negative 3 pi comma 1) to (negative 2 pi comma 0.5). It then rises through (negative pi comma 1) to (0 comma 1.5). It then falls through (pi comma 1) to (2 pi comma 0.5). It then rises through (3 pi comma 1) to (4 pi comma 1.5).

Question 7

The equations y is equal to tangent squared of x and y is equal to 1 are graphed here. According to the graph, which of the following is part of the solution to the trigonometric inequality tangent squared of x is less than 1 over the interval 0 is less than or equal to x comma x is less than or equal to 2 pi radians?

Revolt · Accepted Answer

D: x is equal to pi over 6

Question 8

Based on the diagram, which equation can be simplified to derive the cosine sum identity?

Revolt · Accepted Answer

B: square root of open paren cosine of open paren u plus v close paren minus 1 close paren squared plus open paren sine of open paren u plus v close paren minus 0 close paren squared end root

is equal to square root of open paren cosine of u minus cosine of negative v close paren squared plus open paren sine of u minus sine of negative v close paren squared end root

Question 9

In which step did she first make an error, and what was the error?

Revolt · Accepted Answer

A: She first made an error in step 5 because she did not correctly graph  y is equal to cotangent of x minus cosecant of x .

Question 10

Which expression will complete step 2 in the proof?

Revolt · Accepted Answer

D: square root of 1 plus cosine of x end root

Practice Test Answers

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