anonymous 4 years ago what angles are coterminal with 160 degrees

1. anonymous

@mertsj can u help me

2. anonymous

anyone....?

3. jim_thompson5910

Anything coterminal to 160 degrees will be separated by 360 degrees. In other words, simply add/subtract 360 to/from 160 to get a new coterminal angle So one coterminal angle is 160 + 360 = 520 degrees

4. anonymous

so would one be 20?

5. jim_thompson5910

another coterminal angle would be 160 - 360 = -200 degrees

6. anonymous

thts not one of the options given to me. the options are : 20, 520 and -160, 200, and -200,-560, and 520, 700

7. anonymous

Coterminal angles Ac to angle A may be obtained by adding or subtracting k*360 degrees or k* (2 Pi). Hence Ac = A + k*360o if A is given in degrees. or Ac = A + k*(2 PI) if A is given in radians. where k is any negative or positive integer.

8. jim_thompson5910

sorry was delayed a bit Notice how -200 is one of our coterminal angles So if we subtract another 360 from that, we get -200 - 360 = -560 So the answer is choice C

9. anonymous

Find a positive and a negative angle coterminal with a 160° angle. 160° – 360° = –200° 160° + 360° = 520° A –200° angle and a 520° angle are co terminal with a 160° angle.

10. anonymous

can u help me out with a couple more pleaseee?

11. anonymous

its a different question, but its on trig

12. anonymous

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13. anonymous

what is the depth of the water at 8:32 am

14. jim_thompson5910

I'm assuming that x = number of hours after 12:00 am?

15. anonymous

t is the hours during a certain day

16. anonymous

i mean x

17. jim_thompson5910

y = 2.5*sin(2pi*(x-4)/12.4) + 1.6 y = 2.5*sin(2pi*(8.533-4)/12.4) + 1.6 y = 2.5*sin(2pi*(4.533)/12.4) + 1.6 y = 2.5*sin(2pi*0.3655645) + 1.6 y = 2.5*sin(2(3.14159)*0.3655645) + 1.6 y = 2.5*sin(2*1.14845378) + 1.6 y = 2.5*sin(2.29690756) + 1.6 y = 2.5*0.74776206 + 1.6 y = 1.86940515 + 1.6 y = 3.46940515 So the water depth at 8:32 am is roughly 3.46940515

18. anonymous

P( $\sqrt{3}/2$, -1/2, and Q (-1/$\sqrt{2}$, 1/$\sqrt{2}$

19. anonymous

can u help me with 1 moree

20. jim_thompson5910

sure

21. anonymous

p and q are 2 points on a unit circle. if an object rotates counterclock wise, from point p to point q, then through what angle in degrees has it rotated?

22. jim_thompson5910

Notice that cos(-pi/6) = sqrt(3)/2 and sin(-pi/6) = -1/2 and cos(5pi/4) = -1/sqrt(2) and sin(5pi/4) = 1/sqrt(2) So the two angles in question are: -pi/6 and 5pi/4 The difference between these angles are: 5pi/4 - (-pi/6) = 17pi/12 Therefore, the answer is 17pi/12