What is the value of cos(pi)(0.665005)ln(0.202133) ?

The value of cos(pi)(0.665005)ln(0.202133) is -133001/200000 ln(202133/1000000)

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cos(pi)(0.665005)ln(0.202133)

cos (π) (0.665005) ln (0.202133)

- \frac{133001}{200000} ln (\frac{202133}{1000000})

Decimal Notation

1.06322 \dots

Solution steps

cos (π) (0.665005) ln (0.202133)

= cos (π) \frac{133001}{200000} ln (\frac{202133}{1000000})

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{133001}{200000} ln (\frac{202133}{1000000})

Simplify

= - \frac{133001}{200000} ln (\frac{202133}{1000000})

4 + 3 sin (π)

5 cos (\frac{7 π}{8})

arcsin (0.618)

ln ∣ sec (0) ∣

sin (31. 8^{\circ})

What is the value of cos(pi)(0.665005)ln(0.202133) ?
The value of cos(pi)(0.665005)ln(0.202133) is -133001/200000 ln(202133/1000000)