Trigonometry

IM STUCK ON THESE :(

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

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