What is expand 9cos(2(x+6))-5 ?

The solution to expand 9cos(2(x+6))-5 is 9cos(pi/(15)+2x)-5

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expand 9cos(2(x+6))-5

expand

9 cos (2 (x + 6^{\circ})) - 5

9 cos (\frac{π}{15} + 2 x) - 5

Solution steps

9 cos (2 (x + 6^{\circ})) - 5

9 cos (2 (x + 6^{\circ})) = 9 (cos (\frac{π}{15}) cos (2 x) - sin (\frac{π}{15}) sin (2 x))

= 9 (cos (\frac{π}{15}) cos (2 x) - sin (\frac{π}{15}) sin (2 x)) - 5

Use the Angle Sum identity:

cos (s) cos (t) - sin (s) sin (t) = cos (s + t)

= 9 cos (\frac{π}{15} + 2 x) - 5

(x y = 1, 2) (x^{2} - 5 y^{2} = 16)

(x + Δ x)^{4}

\frac{18 x + 30}{x ( x ^{2} + 8 x + 25 )}

\frac{d}{d t} ((2 t + 1) t) + 1

(e x + y^{2}) d x

What is expand 9cos(2(x+6))-5 ?
The solution to expand 9cos(2(x+6))-5 is 9cos(pi/(15)+2x)-5