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Math Help - trignometric simplify

  1. #1
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    trignometric simplify

    Find: sin(arccos(3/5))

    Find the exact value of csc105 degrees

    Simplify: sin (x+y) - sin(x-y)

    Prove that: sin2x/cotx = 1-cos2x

    Find the exact value of sin(x+ pi/3)

    I know thats a lot but any help would be amazing!!! I'm awful at this!!
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  2. #2
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    btw how do you make the pi symbol on here??j
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  3. #3
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    Hello,

    Quote Originally Posted by antz215 View Post
    Find: sin(arccos(3/5))
    \sin(\arccos(3/5))=\pm \sqrt{1-(3/5)^2} (see where arccos 3/5 lies and conclude about the sign of the sine)

    Find the exact value of csc105 degrees
    Dunno.. have to find out what csc is...

    Simplify: sin (x+y) - sin(x-y)
    \sin(x+y)=\sin(x)\cos(y)+\cos(x)\sin(y)

    \sin(x-y)=\sin(x)\cos(-y)+\cos(x)\sin(-y)

    Prove that: sin2x/cotx = 1-cos2x
    \cot x=\frac{\cos x}{\sin x}

    \sin 2x=2 \cos x \sin x

    \Longrightarrow \frac{\sin 2x}{cot x}=2 \sin^2(x)=\dots

    Find the exact value of sin(x+ pi/3)
    Use the formula \sin(x+y)=\sin(x)\cos(y)+\cos(x)\sin(y)

    btw how do you make the pi symbol on here??j
    [tex]\pi[/tex]
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  4. #4
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    thank you! most of that made sense to me, but what didnt wasnt your fault!
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  5. #5
    Moo
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    Quote Originally Posted by antz215 View Post
    thank you! most of that made sense to me, but what didnt wasnt your fault!
    I can try to explain, as far as my knowledge allows me
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