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11. Trigonometric Equations
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Q13 of 142 Page 11

If sec x cos 5x + 1 = 0, where find the value of x.


cos 5x = -cos x


cos 5x+cos x = 0


We know



Here



Now from the above equation it would be,


2cos 3x cos 2x=0


cos 3x cos 2x=0


cos 3x=0 or cos 2x=0


for cos3x=0




for cos2x=0




so the values of the x less than equal to 90° are


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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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