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Math Help - If Sin(θ)=3/5

  1. #1
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    If Sin(θ)=3/5

    Spending my summer studying on my own, and I have come across some things which I would like to see how they are solved.
    If you are capable of completing, please show work instead of just answers so that I can follow what you did, and take notes on it.

    If sin(θ) = 3/5 and θ is in Quad II, determine in EXACT form the following

    a) sin(θ + π/6)

    b) cos(5π/3 - θ)

    c) cos(20)

    d) csc(π/2 - θ)
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  2. #2
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    Re: If Sin(θ)=3/5

    Quote Originally Posted by MathRaven View Post
    Spending my summer studying on my own, and I have come across some things which I would like to see how they are solved.
    If you are capable of completing, please show work instead of just answers so that I can follow what you did, and take notes on it.
    If sin(θ) = 3/5 and θ is in Quad II, determine in EXACT form the following
    a) sin(θ + π/6)
    b) cos(5π/3 - θ)
    c) cos(20)
    d) csc(π/2 - θ)
    For part a) you need
    \sin(A+B)=\sin(A)\cos(B)+\sin(B)\cos(A) and \cos(\theta)=\frac{-4}{5}.

    Now you do some.
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  3. #3
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    Re: If Sin(θ)=3/5

    for part b) you need to know that:

    \cos(A + B) = \cos(A)\cos(B) - \sin(A)\sin(B)
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