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Math Help - Trigo, R-formulae

  1. #1
    Member maybeline9216's Avatar
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    Trigo, R-formulae

    Plase teach me how to do.thanks
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  2. #2
    MHF Contributor
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    10sqrt(2)[sin(X +45deg)] +14cosX = A*sinX +B*cosX
    10sqrt(2)[sinXcos(45deg) +cosXsin(45deg)] +14cosX = A*sinX +B*cosX
    10sqrt(2)[sinX(1 /sqrt(2)) +cosX(1 /sqrt(2))] +14cosX = A*sinX +B*cosX
    10[sinX +cosX] +14cosX = A*sinX +B*cosX
    10sinX +24cosX = A*sinX +B*cosX

    Therefore, A = 10, asnd B = 24 -------------answer.

    -----------------------
    The last part, where it is suggested to express
    10sqrt(2)[sin(X +45deg)] +14cosX
    into
    R*sin(X +a),
    I don't quite understand it.
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  3. #3
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  4. #4
    Member maybeline9216's Avatar
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    Thanks but i know how to do already
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