Question 515593: Please help me with this problem,show as many steps as possible please.
Solve, -10cos^2x - 3sinx + 9 = 0, Give a general formula for all the solutions, Round to 3 decimal places if needed.
Answer by lwsshak3(11628) (Show Source):
You can put this solution on YOUR website! Solve, -10cos^2x - 3sinx + 9 = 0, Give a general formula for all the solutions, Round to 3 decimal places if needed.
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-10cos^2x - 3sinx + 9 = 0
10cos^2x+3sinx-9=0
10(1-sin^2x)+3sinx-9=0
10-10sin^2x+3sinx-9=0
-10sin^2x+3sinx+1=0
10sin^2x-3sinx-1=0
solve for sinx using quadratic formula (let student do this)
sinx=-0.2
x=3.3430+2πn, 6.0818 +2πn, n=integer
sinx=0.5
x=π/6+2πn, 5π/6+2πn, n=integer
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