What is ln(1-sin^2(x)) ?

The solution to ln(1-sin^2(x)) is ln(cos^2(x))

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simplify ln(1-sin^2(x))

simplify

ln (1 - sin^{2} (x))

ln (cos^{2} (x))

Solution steps

ln (1 - sin^{2} (x))

Use the Pythagorean identity:

1 = cos^{2} (x) + sin^{2} (x)

1 - sin^{2} (x) = cos^{2} (x)

= ln (cos^{2} (x))

\frac{1}{2} tan (x - \frac{π}{4})

sin (a - 3 0^{\circ})

sin (\frac{π}{2} - arcsin (x))

sec (- 4 x)

cos (arccsc (3 x - 3))