Question 1 of 20 | 5.0/ 5.0 Points |
Use the given information to find the exact value of the expression. sin α = , α lies in quadrant II, and cos β = , β lies in quadrant I Find sin (α - β). |
Question 2 of 20 | 0.0/ 5.0 Points |
Solve the equation on the interval [0, 2π). tan 2x sin x = tan 2x | A. 0, | | | B. , 2π | | | C. , π | | | D. 0, π | |
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Question 3 of 20 | 0.0/ 5.0 Points |
The sound produced by touching each button on a touch-tone phone is described by y = sin 2πlt + sin 2πht where l and h are the low and high frequencies (cycles per seconD. in the figure shown. Use a calculator to find the graph of the sound emitted by touching the 4 key in a [0, 0.01, 0.001] by [-2, 2, 1] viewing rectangle. |
Question 4 of 20 | 0.0/ 5.0 Points |
Solve the equation on the interval [0, 2π). cos x + 2 cos x sin x = 0 | A. 0, , , | | | B. , , , | | | C. , , 2π | | | D. , | |
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Question 5 of 20 | 0.0/ 5.0 Points |
Rewrite the expression as an equivalent expression that does not contain powers of trigonometric functions greater than 1. cos 3x | A. cos x + cos 3x + cos 2x | | | B. cos x + cos 3x | | | C. cos x - cos 3x | | | D. cos x - cos 3x - cos 2x | |
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Question 6 of 20 | 0.0/ 5.0 Points |
Rewrite the expression in terms of the given function or functions. (sec x + csc x) (sin x + cos x) - 2 - cot x; tan x | A. 0 | | | B. 2tan x | | | C. tan x | | | D. 2 + tan x | |
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Question 7 of 20 | 0.0/ 5.0 Points |
Complete the identity. = ? | A. cot α + cot β | | | B. tan β + tan α | | | C. tan α + tan β | | | D. -tan α + cot β | |
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Question 8 of 20 | 5.0/ 5.0 Points |
Solve the equation on the interval [0, 2π). sec = cos | A. , , , , , , | | | B. 0 | | | C. , | | | D. 0, , π, | |
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Question 9 of 20 | 0.0/ 5.0 Points |
The weekly sales in thousands of items of a product has a seasonal sales record approximated by (t is time in weeks with t = 1 referring to the first week in the year). During which week(s) will the sales equal 96,990 items? | A. week 4, week 20, and week 52 | | | B. week 21 and week 30 | | | C. week 4 and week 47 | | | D. week 30 and week 47 | |
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Question 10 of 20 | 0.0/ 5.0 Points |
Find the exact value of the expression. sin 265° cos 25° - cos 265° sin 25° |
Question 11 of 20 | 5.0/ 5.0 Points |
Find all solutions of the equation. 5 sin x - 8 = 3 sin x- 7 | A. x = + nπ or x = + nπ | | | B. x = + nπ or x = + nπ | | | C. x = + 2nπ or x = + 2nπ | | | D. x = + 2nπ or x = + 2nπ | |
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Question 12 of 20 | 0.0/ 5.0 Points |
Write the expression as the sine, cosine, or tangent of a double angle. Then find the exact value of the expression. 2 sin 120° cos 120° |
Question 13 of 20 | 0.0/ 5.0 Points |
Complete the identity. sin 4x - cos 4x = ? | A. 1 - 2cos2 x | | | B. 1 - 2sin2 x | | | C. 1 + 2sin2 x | | | D. 1 + 2cos2 x | |
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Question 14 of 20 | 0.0/ 5.0 Points |
Complete the identity. = ? | A. 1 + cot α cot β | | | B. tan α tan β + cot β | | | C. 1 + tan α tan β | | | D. 1 + cot α tan β | |
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Question 15 of 20 | 5.0/ 5.0 Points |
Use the given information to find the exact value of the expression. sin θ = , θ lies in quadrant II Find tan 2θ. |
Question 16 of 20 | 5.0/ 5.0 Points |
Use a calculator to solve the equation on the interval [0, 2π). Round to the nearest hundredth of a radian. sin 2x - sin x = 0 | A. 1.05, 3.14, 5.24 | | | B. 0, 1.05, 3.14, 5.24 | | | C. 0, 2.09, 3.14, 4.19 | | | D. 0, 2.09, 4.19 | |
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Question 17 of 20 | 5.0/ 5.0 Points |
Express the sum or difference as a product. sin 4x - sin 6x | A. 2 cos 4x cos 5x | | | B. 2 sin 5x cos x | | | C. -2 sin x cos 5x | | | D. -2 sin x | |
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Question 18 of 20 | 0.0/ 5.0 Points |
Solve the equation on the interval [0, 2π). sin 2 x - cos 2x = 0 |
Question 19 of 20 | 0.0/ 5.0 Points |
Show that the equation is not an identity by finding a value of x for which both sides are defined but not equal. cos x - cos x sinx = cos 3x |
Question 20 of 20 | 5.0/ 5.0 Points |
Complete the identity. = ? | A. cot α + cot β | | | B. tan α + tan β | | | C. tan β + tan α | | | D. -tan α + cot β | |
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