anonymous
  • anonymous
for sin, cos, tan, csc, sec, and cot functions, how do you find the angles?
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
i know you type in the calculator inverse sin..etc but like how do you know which quadrants they are in
y2o2
  • y2o2
the inverse functions \[\sin^{-1} or \space \cos^{-1} or \tan^{-1} \] and so on
anonymous
  • anonymous
i know that

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anonymous
  • anonymous
but how do you know which quadrant
anonymous
  • anonymous
once you find that reference angle
y2o2
  • y2o2
Ah, ok i got it
Mertsj
  • Mertsj
Just remember that the cos is like x and the sin is like y. That gives you the sign of all the functions in all the quadrants.
anonymous
  • anonymous
hmmm still sorta confused. can you give me an example mertsj?
y2o2
  • y2o2
you have to check the value of the function in the first quad. all functions are positive in the second quad. sine is the only positive the rest are negative in the third quad. tan is the only positive the rest are negative in the fourth quad. cosine is the only positive the rest are negative so when you find the angle , you can determine in which quad it is.
y2o2
  • y2o2
|dw:1332718026574:dw|
anonymous
  • anonymous
ok so like if i have sin x = 1/2
Mertsj
  • Mertsj
|dw:1332717956955:dw|
anonymous
  • anonymous
so if i have sin = 1/2 that means y= 1 and R = 2
anonymous
  • anonymous
so then it would be first quadrant and third quadrant ?
y2o2
  • y2o2
for example if sin(x) = 0.5 and x belongs to [0,180] then x must be in the first or the second quad. because it's +ve and sin^-1(0.5) = 30 so x =30 or x = (180-30 = 150)
y2o2
  • y2o2
sorry x belongs to [0,360]
anonymous
  • anonymous
uhhhh..
anonymous
  • anonymous
for sin3x = 1/2 why is the answer pi/18 and 5pi/18 ?
Mertsj
  • Mertsj
\[3x= \frac{\pi}{6}, \frac{5\pi}{6}\] \[x=\frac{\pi}{18}, \frac{5\pi}{18}\]
anonymous
  • anonymous
but why
Mertsj
  • Mertsj
3x=1/6 What is x?
anonymous
  • anonymous
idk
Mertsj
  • Mertsj
|dw:1332719500565:dw|
Mertsj
  • Mertsj
|dw:1332719528422:dw|
anonymous
  • anonymous
lol 1/18
Mertsj
  • Mertsj
|dw:1332719572812:dw|
precal
  • precal
|dw:1332723649132:dw|
precal
  • precal
This is how I remember it: All Students Take Calculus It helps you remember which functions are positive. Quadrant 1 : They are all positive

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