What is cos(x-pi/3)1 ?

The solution to cos(x-pi/3)1 is 1/2 cos(x)+(sqrt(3))/2 sin(x)

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simplify cos(x-pi/3)1

simplify

cos (x - \frac{π}{3}) 1

\frac{1}{2} cos (x) + \frac{3}{2} sin (x)

Solution steps

cos (x - \frac{π}{3}) \cdot 1

Rewrite using trig identities

= (\frac{1}{2} cos (x) + \frac{3}{2} sin (x)) \cdot 1

Simplify

(\frac{1}{2} cos (x) + \frac{3}{2} sin (x)) \cdot 1 : \frac{1}{2} cos (x) + \frac{3}{2} sin (x)

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

9 + 9 tan^{2} (x)

sin (x) sin (- x)

tan (θ) + tan (\frac{π}{2} - θ)

sin (\frac{3 π}{2} + θ)

3 cos (\frac{1}{2} x + π) - 5

What is cos(x-pi/3)1 ?
The solution to cos(x-pi/3)1 is 1/2 cos(x)+(sqrt(3))/2 sin(x)