What is the general solution for solvefor y,arccot(xy)=ln(sin(x)) ?

The general solution for solvefor y,arccot(xy)=ln(sin(x)) is y=(cot(ln(sin(x))))/x

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solvefor y,arccot(xy)=ln(sin(x))

solve for

y, arccot (x y) = ln (sin (x))

y = \frac{cot ( ln ( sin ( x ) ) )}{x}

Solution steps

arccot (x y) = ln (sin (x))

Apply trig inverse properties

x y = cot (ln (sin (x)))

Solve

x y = cot (ln (sin (x))) : y = \frac{cot ( ln ( sin ( x ) ) )}{x}; x \neq = 0

y = \frac{cot ( ln ( sin ( x ) ) )}{x}

tan (α) = - \frac{3}{4}

sec (2 x) csc (2 x) = 2 csc (2 x), 0 \leq x \leq 2 π

tan^{2} (x) - 3 tan (x) - 10 = 0

6 sin^{2} (x) + 3 sin (x) = 0

0 = 2 cos (x) + sin (2 x)

What is the general solution for solvefor y,arccot(xy)=ln(sin(x)) ?
The general solution for solvefor y,arccot(xy)=ln(sin(x)) is y=(cot(ln(sin(x))))/x