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Math Help - Double Angles, half angles, radian solutions and more

  1. #1
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    Exclamation Double Angles, half angles, radian solutions and more

    I got my math study guide today and everything looks like arabic

    I need help on pretty much all of it, but this is what I'm asking about for now:

    1.) Find all the radian solutions for the following equation: 4sin^2 x - 1=0

    2.) Simplify the following expression by using a double-angle formula or a half-angle formula: 1-2sin^2 (x/12)

    3.) Find the quotient z1/z2 in trigonometric form, if z1=cos(pie) +i sin(pie)and z2=5cos(pie/2) + 5i sin(pie/2)
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  2. #2
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    1.) Find all the radian solutions for the following equation: 4sin^2 x - 1=0
    this one will factor ... (2\sin{x} - 1)(2\sin{x} + 1) = 0

    use the zero product property and solve for x.


    2.) Simplify the following expression by using a double-angle formula or a half-angle formula: 1-2sin^2 (x/12)
    hint ... \cos(2u) = 1 - 2\sin^2(u)


    3.) Find the quotient z1/z2 in trigonometric form, if z1=cos(pi) +i sin(pi)and z2=5cos(pi/2) + 5i sin(pi/2)
    if z_1 = r_1[\cos(\theta_1) + i\sin(\theta_1)] and z_2 = r_2[\cos(\theta_2) + i\sin(\theta_2)] , then ...

    \frac{z_1}{z_2} = \frac{r_1}{r_2}[\cos(\theta_1-\theta_2) + i\sin(\theta_1-\theta_2)]
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