What is xln(cos(pi/2-x)) ?

The solution to xln(cos(pi/2-x)) is xln(sin(x))

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simplify xln(cos(pi/2-x))

simplify

x ln (cos (\frac{π}{2} - x))

x ln (sin (x))

Solution steps

x ln (cos (\frac{π}{2} - x))

Rewrite using trig identities

= x ln (sin (x))

2 cos^{2} (36 0^{\circ} + A)

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

sin (π t) \cdot csc (π t)

cos (- 1 (cos (x)))

sin (x) + sin (x + \frac{2 π}{3})