What is 2sin(2pi(1/4)+5pix) ?

The solution to 2sin(2pi(1/4)+5pix) is 2cos(5pix)

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simplify 2sin(2pi(1/4)+5pix)

simplify

2 sin (2 π (\frac{1}{4}) + 5 π x)

2 cos (5 π x)

Solution steps

2 sin (2 π (\frac{1}{4}) + 5 π x)

Rewrite using trig identities

= 2 cos (5 π x)

sin (θ - 36 0^{\circ})

cos^{2} (9 0^{\circ} + a)

cos (arccot (4 x - 4))

sin (π - nπ)

cos (x + \frac{2 π}{3}) - 2