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11. Trigonometric Equations
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Q12 of 142 Page 11

If 2 sin2 x = 3 cos x, where 0 ≤ x ≤ 2 π, then find the value of x.

2sin2x=3cos x


2-2cos2x=3cos x


Solving the quadratic equation, we get


cos x= 1/2


Therefore x=60° and 300°


i.e.




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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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