Cos 2 x - - 3 at x - - 3

cos(2x+(π/3)) =cos(2·(π/3)+(π/3)) =cos(π) = 1 ...

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Complementary Trigonometric Ratios

cos 2 x + π/ ...

Question

$cos (2 x + \frac{π}{3})$ at $x = \frac{π}{3}$

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Solution

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{cos}^{2} x + {cos}^{2} (x + \frac{π}{3}) + {cos}^{2} (x - \frac{π}{3}) = \frac{3}{2}

{cos}^{2} x + {cos}^{2} (x + \frac{π}{3}) + {cos}^{2} (x - \frac{π}{3}) = \frac{3}{2}

\frac{d y}{d x} + \frac{3}{{c o s}^{2} x} = \frac{1}{{c o s}^{2} x}, x ϵ (\frac{- π}{3}, \frac{π}{3}),

y (\frac{π}{4}) = \frac{4}{3},

y (- \frac{π}{4})

\frac{d}{d x} (\sqrt{3} sin (2 x + \frac{π}{3}) + cos (2 x + \frac{π}{3})) =

f (x) = {cos}^{2} x + {cos}^{2} (x + \frac{π}{3}) + sin x sin (x + \frac{π}{3})

g (\frac{5}{4}) = 3

\frac{d}{d x} (g o f (x))

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