What is ysin(1/2 x^2+c) ?

The solution to ysin(1/2 x^2+c) is ysin(c+(x^2)/2)

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simplify ysin(1/2 x^2+c)

simplify

y sin (\frac{1}{2} x^{2} + c)

y sin (c + \frac{x ^{2}}{2})

Solution steps

y sin (\frac{1}{2} x^{2} + c)

Rewrite using trig identities

= y (cos (c) sin (\frac{x ^{2}}{2}) + sin (c) cos (\frac{x ^{2}}{2}))

Use the Angle Sum identity:

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

= y sin (c + \frac{x ^{2}}{2})

sin (π t) \cdot csc (π t)

cos (- 1 (cos (x)))

sin (x) + sin (x + \frac{2 π}{3})

j cos (10 n - \frac{π}{2})

sin (3 \cdot (- θ))