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HorribleAtMath

  • 2 years ago

for sin, cos, tan, csc, sec, and cot functions, how do you find the angles?

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  1. HorribleAtMath
    • 2 years ago
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    i know you type in the calculator inverse sin..etc but like how do you know which quadrants they are in

  2. y2o2
    • 2 years ago
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    the inverse functions \[\sin^{-1} or \space \cos^{-1} or \tan^{-1} \] and so on

  3. HorribleAtMath
    • 2 years ago
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    i know that

  4. HorribleAtMath
    • 2 years ago
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    but how do you know which quadrant

  5. HorribleAtMath
    • 2 years ago
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    once you find that reference angle

  6. y2o2
    • 2 years ago
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    Ah, ok i got it

  7. Mertsj
    • 2 years ago
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    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.

  8. HorribleAtMath
    • 2 years ago
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    hmmm still sorta confused. can you give me an example mertsj?

  9. y2o2
    • 2 years ago
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    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.

  10. y2o2
    • 2 years ago
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    |dw:1332718026574:dw|

  11. HorribleAtMath
    • 2 years ago
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    ok so like if i have sin x = 1/2

  12. Mertsj
    • 2 years ago
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    |dw:1332717956955:dw|

  13. HorribleAtMath
    • 2 years ago
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    so if i have sin = 1/2 that means y= 1 and R = 2

  14. HorribleAtMath
    • 2 years ago
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    so then it would be first quadrant and third quadrant ?

  15. y2o2
    • 2 years ago
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    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)

  16. y2o2
    • 2 years ago
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    sorry x belongs to [0,360]

  17. HorribleAtMath
    • 2 years ago
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    uhhhh..

  18. HorribleAtMath
    • 2 years ago
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    for sin3x = 1/2 why is the answer pi/18 and 5pi/18 ?

  19. Mertsj
    • 2 years ago
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    \[3x= \frac{\pi}{6}, \frac{5\pi}{6}\] \[x=\frac{\pi}{18}, \frac{5\pi}{18}\]

  20. HorribleAtMath
    • 2 years ago
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    but why

  21. Mertsj
    • 2 years ago
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    3x=1/6 What is x?

  22. HorribleAtMath
    • 2 years ago
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    idk

  23. Mertsj
    • 2 years ago
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    |dw:1332719500565:dw|

  24. Mertsj
    • 2 years ago
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    |dw:1332719528422:dw|

  25. HorribleAtMath
    • 2 years ago
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    lol 1/18

  26. Mertsj
    • 2 years ago
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    |dw:1332719572812:dw|

  27. precal
    • 2 years ago
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    |dw:1332723649132:dw|

  28. precal
    • 2 years ago
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    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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