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Conditional Identities

34. The expre...

Question

34. The expression " cos3x + sin3x +(2sin2x-3)(sinx- cosx)", is positive for all x in the range?

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1 + {sin}^{3} x + {cos}^{3} x - \frac{3}{2} sin 2 x

x : sin x + sin 2 x + sin 3 x = cos x + cos 2 x + cos 3 x

in the interval

0 \leq x \leq 2 π

Q. General solution of

{sin}^{3} x + {cos}^{3} x + \frac{3}{2} sin 2 x = 1

Q. Find the general solution of

1 + {sin}^{3} x + {cos}^{3} x = \frac{3}{2} sin 2 x

Q. The general solution of trigonometric equation

1 + s i n^{3} x + c o s^{3} x = \frac{3}{2} s i n 2 x

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