SOLUTION: 5: For questions 5 – 14: Solve each of the following for y in radians. Use a calculator for exercises 9 and 10, with 3.1416 as an approximation for π. y = arctan 1 &#6553

Algebra ->  Rational-functions -> SOLUTION: 5: For questions 5 – 14: Solve each of the following for y in radians. Use a calculator for exercises 9 and 10, with 3.1416 as an approximation for π. y = arctan 1 &#6553      Log On


   

Question 145209: 5: For questions 5 – 14: Solve each of the following for y in radians. Use a calculator for exercises 9 and 10, with 3.1416 as an approximation for π.
y = arctan 1
π/7
π/4
2π/5
2π/2

6: y = arcsin (sqrt 2)/2
π/4
4π/2
sqrt π
sqrt(4π)

7: y = arccot (-sqrt 3)/3
2/3π
-π
2π/3
π/9

8: y = arcos (-sqrt 3)/2
-6π
-3π/2
π/2
5π/6

9: y = arccot 1.804
.5062
.6
.4708
5.6

10: y = arccos -.3090
1.914
1.252
1.8849
.889

11: y = tan (arcsin -3/5)
4/3
3/5
-2/3
-3/4

12: y = cos (arccot 12/5)
-12/5
12/13
-4
¾

13: y = sin (arccos 2/3 + arctan 1)
(sqrt 10 + 2sqrt2)/6
10 + sqrt 2
6/(10 + 2sqrt2)
(sqrt 10 + sqrt2)

14: y= cos (arcsin ½ + arcsin 2/3)
(sqrt15 – 2)/6
(sqrt1/2)/15
2/3
-sqrt6

15: For questions 15 – 19: Solve each of the following equations for 0° ≤ θ < 360°.
2 cos θ = 1
280°
60°; 360°
40°
60°; 300°

16: (tan θ + 1) (sec θ – 1/2) = 0
120°; 300°
135°; 315°
65°; 300°
215°

17: sin2 θ + 3 sin θ + 2 = 0
270°
275°; 215°
119°
207°

18: sin θ/cos θ = tan2 θ
0°; 45°; 90°; 180°; 225°
180°; 225°
0°; 45°; 180°; 225°
45°; 225°

19: 4 sin θ cos θ = 1
90°; 145°; 225°
15°; 75°; 195°; 225°
25°; 145°
90°; 275°; 95°; 325°

20: For questions 20-23: Solve each of the following for x.
3y = 2 cos x + 1
x = arccos ((3y – 1)/2)
x = cos (3y/2)
x = 12
x = arccos ((2x +1)/3)

21: 2y = tan (x+3)
x = 2 arctan (y-3)
x = (arctan 2y) - 3
x = tan2 3
x = arctan (2/3)

22: Arctan x = arccot 1
x = 1
x = cot (2/3)
x = -1
x = 12

23: Arcsin x – arccos 1 = π/3
x = (sqrt3)/2
x = 3/2
x = - π/3
x = 1
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
Do you actually expect someone to do your entire assignment for you? That is not the idea of this website. Pick one problem of each type and resubmit. And show the work you have done so far.