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11. Trigonometric Equations
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Q10 of 142 Page 11

Write the number of values of x in [0, 2 π] that satisfy the equation

1-cos2x-cos x=0.25


cos x 2x+cos x-0.75=0


Solving the quadratic equation we get


cos x = 0.5


cos x = cos60°



x=60° when n=0


And x=300° when n=1


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Questions · 142
11. Trigonometric Equations
1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 1 2 3 4 5 6 7 8 9 10 11 12 13 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
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