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January 29, 2015

January 29, 2015

Posted by **Erick** on Monday, December 10, 2012 at 2:24pm.

1. What is the equation for shifting the standard sine curve +2 units horizontally?

A. y = sin (x + 2)

B. y = sin x + 2

C. y = sin x − 2

D. y = sin (x − 2)

3. What is tan-¹ √3/3 ?

A. π/4

B. -π/3

C. π/6

D. -π/4

4. cot–1 −0.57735 is approximately

A. −0.65.

B. −1.05.

C. 2.62.

D. 2.09.

5. What is the period of y=√3sin(1/3x-1/3)?

A. 6π

B. π/3

C. √3π

10. 16. Which of these statements are true??

(i) The domain of the inverse cosine function (y = cos–1 x) is –1 ≤ x ≤ 1.

(ii) The range of the inverse sine function (y = sin–1 x) is 0 ≤ y ≤ p.

(iii) The range of the inverse tangent function (y = tan–1 x) is –p/2 < y < p/2.

A. (i) and (ii)

B. (i), (ii), and (iii)

C. (ii) and (iii)

D. (i) and (iii)

11. What is the frequency of y=tan(π/3x)

A. 1/3

B. 3

C. 1/6

14. How many solutions does the system y=x

y=tan x have?

A. Infinitely many

B. 3

C. None

- Trigonometry -
**Steve**, Monday, December 10, 2012 at 3:25pm1. (D)

3. (C)

4. (B) −0.57735 is -1/√3

5. (A) 2pi/(1/3) = 6pi

10. (D)

11. (C) 1/(2pi/(pi/3))

14. (A)

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