What is the value of cos(pi)(0.534716)-ln(0.534716) ?

The value of cos(pi)(0.534716)-ln(0.534716) is -133679/250000-ln(133679/250000)

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cos(pi)(0.534716)-ln(0.534716)

cos (π) (0.534716) - ln (0.534716)

- \frac{133679}{250000} - ln (\frac{133679}{250000})

Decimal Notation

0.09130 \dots

Solution steps

cos (π) (0.534716) - ln (0.534716)

= cos (π) \frac{133679}{250000} - ln (\frac{133679}{250000})

Use the following trivial identity:

cos (π) = (- 1)

cos (π)

cos (x)

periodicity table with

2 πn

cycle:

x 0 \frac{π}{6} \frac{π}{4} \frac{π}{3} \frac{π}{2} \frac{2 π}{3} \frac{3 π}{4} \frac{5 π}{6} cos (x) 1 \frac{3}{2} \frac{2}{2} \frac{1}{2} 0 - \frac{1}{2} - \frac{2}{2} - \frac{3}{2} x π \frac{7 π}{6} \frac{5 π}{4} \frac{4 π}{3} \frac{3 π}{2} \frac{5 π}{3} \frac{7 π}{4} \frac{11 π}{6} cos (x) - 1 - \frac{3}{2} - \frac{2}{2} - \frac{1}{2} 0 \frac{1}{2} \frac{2}{2} \frac{3}{2}

= (- 1)

= (- 1) \frac{133679}{250000} - ln (\frac{133679}{250000})

Simplify

= - \frac{133679}{250000} - ln (\frac{133679}{250000})

\frac{20}{sin ( 14.8 8 ^{\circ} )}

\frac{1}{sec ( 3 0 ^{\circ} )}

arctan (\frac{4.99}{9.807} + 0.4)

cos (\frac{0.577}{53.2})

arcsec (\frac{2 2}{3})

What is the value of cos(pi)(0.534716)-ln(0.534716) ?
The value of cos(pi)(0.534716)-ln(0.534716) is -133679/250000-ln(133679/250000)