What is sin(x-pi/5)+2 ?

The solution to sin(x-pi/5)+2 is ((sqrt(5)+1)sin(x)-sqrt(2)sqrt(5-\sqrt{5)}cos(x))/4+2

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simplify sin(x-pi/5)+2

simplify

sin (x - \frac{π}{5}) + 2

\frac{( 5 + 1 ) sin ( x ) - 2 5 - 5 cos ( x )}{4} + 2

Solution steps

sin (x - \frac{π}{5}) + 2

Rewrite using trig identities

= \frac{( 5 + 1 ) sin ( x ) - 2 5 - 5 cos ( x )}{4} + 2

75 sin (x) sin (\frac{3 π}{2} + 4 1^{\circ})

sin (\frac{π}{2} - \frac{nπ}{2})

2 sin (2 x + \frac{2 π}{3}) + 1

sin (- 4 π t + 4 π)

sin (arccos (\frac{x}{y}))

What is sin(x-pi/5)+2 ?
The solution to sin(x-pi/5)+2 is ((sqrt(5)+1)sin(x)-sqrt(2)sqrt(5-\sqrt{5)}cos(x))/4+2