Solving for x in 10 (1-cos^2 x) = 1 - 3 sinx

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SUMMARY

The equation 10(1 - cos²x) = 1 - 3sinx can be simplified using the identity sin²x + cos²x = 1. By substituting cos²x with (1 - sin²x), the equation transforms into a quadratic form: 0 = 10y² - 3y + 1, where y represents sinx. This quadratic can be solved using the quadratic formula, yielding specific solutions for sinx, which can then be used to find the corresponding values of x.

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Cugglebear
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hello, can someone help me with this problem: 10 (1-cos^2 x) = 1 - 3 sin x
how can you simply solve that? thanks a lot!
 
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is there a way you can write cos(x) in terms of sin(x)? hint sin^2(x) + cos^2(x) = 1

then ask your self how would you solve 0 = 10y^2 -3y +1
 
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