What is the value of ln(sin(pi/3))-ln(sin(pi/4)) ?

The value of ln(sin(pi/3))-ln(sin(pi/4)) is 1/2 ln(3)-1/2 ln(2)

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ln(sin(pi/3))-ln(sin(pi/4))

ln (sin (\frac{π}{3})) - ln (sin (\frac{π}{4}))

\frac{1}{2} ln (3) - \frac{1}{2} ln (2)

Solution steps

ln (sin (\frac{π}{3})) - ln (sin (\frac{π}{4}))

Use the following trivial identity:

sin (\frac{π}{3}) = \frac{3}{2}

Use the following trivial identity:

sin (\frac{π}{4}) = \frac{2}{2}

= ln (\frac{3}{2}) - ln (\frac{2}{2})

Simplify

ln (\frac{3}{2}) - ln (\frac{2}{2}) : \frac{1}{2} ln (3) - \frac{1}{2} ln (2)

= \frac{1}{2} ln (3) - \frac{1}{2} ln (2)

35 sin (4 5^{\circ})

arcsin (0.1915)

(5 sin (3^{\circ}) + 7 cos (8 7^{\circ})) csc (3^{\circ})

cos (4 0^{\circ}) + sin (4 0^{\circ})

\frac{4}{3} 3 cos (- \frac{4 π}{3})

What is the value of ln(sin(pi/3))-ln(sin(pi/4)) ?
The value of ln(sin(pi/3))-ln(sin(pi/4)) is 1/2 ln(3)-1/2 ln(2)