What is rcos(θ-pi/6) ?

The solution to rcos(θ-pi/6) is r((sqrt(3))/2 cos(θ)+1/2 sin(θ))

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simplify rcos(θ-pi/6)

simplify

r cos (θ - \frac{π}{6})

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

Solution steps

r cos (θ - \frac{π}{6})

Rewrite using trig identities

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

sin (t - \frac{1}{4} π)

sin (π t) \cdot sec (π t)

cos (arccos (v))

cos (\frac{π}{4} + θ)

sec (θ - \frac{π}{4})

What is rcos(θ-pi/6) ?
The solution to rcos(θ-pi/6) is r((sqrt(3))/2 cos(θ)+1/2 sin(θ))