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(Solved): Solve cos2(w)=7sin(w) for all solutions 0w<2 w= Give your answers as values accurate to ...

$Solve \( \cos ^{2}(w)=-7 \sin (w) \) for all solutions \( 0 \leq w<2 \pi \) \[ w= \] Give your answers as values accurate to$

Solve

cos^{2} (w) = - 7 sin (w)

for all solutions

0 \leq w < 2 π

w =

Give your answers as values accurate to at least two decimal places in a list separated by commas.

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Expert Answer

To solve the equation    for all solutions in the interval    it can use trigonometric identities to simplify and solve the equation.

Start with the given equation:

Use the trigonometric identity to replace    in the equation:
It implies that

Rearrange the equation to form a quadratic equation:

The trigonometric identity    is used

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