Math

tan(x)=5 sin(x) for interval -π < x < π

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  1. tan(x)=sin(x)/cos(x)

    sin(x)/cos(x)=5sin(x) Divide withsin(x)

    1/cos(x)=5

    1=5*cos(x) Divide with 5

    cos(x)=1/5

    cos(x)=0.2

    OR

    1/cos(x)=5

    sec(x)=5

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  2. The only choices were A) 0, 1.571 B) -1.571, 0, 1.571 C) -1.369, 0, 1.369 D) 0, 1.369

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  3. tan(0)=0
    sin(0)=0

    tan(0)=5*sin(0)

    0=0

    arccos(0.2)=1.3694384 radians

    tan(-alpha)= -tan(alpha)

    sin(-alpha)= -sin(alpha)

    tan(-1.3694384)=5 sin(-1.3694384)

    Answer C) C) -1.369,0,1.369 is correct

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