What is (log|cos120|x(sin60))/100

Geometry Level 2

(log|cos120|x(sin60))/100 = ?

-0.002606996... -0.22222........

Sub to Pewdiepie by Sub to Pewdiepie , 17, Canada

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1 solution

Marta Reece
Jun 10, 2017

(log|cos120|x(sin60))/100= log ⁡ ∣ cos ⁡ ( 12 0 ∘ ) ∣ × sin ⁡ ( 6 0 ∘ ) 100 = ln ⁡ ∣ − 1 2 ∣ × 3 2 100 ln ⁡ ( 10 ) = − ln ⁡ 2 × 3 200 ln ⁡ ( 10 ) ≈ − 0.002606996 \dfrac{\log|\cos(120^\circ)|\times\sin(60^\circ)}{100}=\dfrac{\ln\left|-\dfrac12\right|\times\dfrac{\sqrt{3}}{2}}{100\ln(10)}=\dfrac{-\ln 2\times\sqrt{3}}{200\ln(10)}\approx\boxed{-0.002606996}

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Will you make the solution a bit more easy because I don`t understand the function IN

Sub to Pewdiepie - 3 years, 12 months ago

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The function ln ⁡ ( x ) \ln(x) is natural logarithm with base e e . Function log ⁡ ( x ) \log(x) is a logarithm with base 10. So that is why l n ( 10 ) ln(10) appears in the denominator, to do the conversion. The reason I did the conversion was because my calculator has an l n ( x ) ln(x) function but not log ⁡ ( x ) \log(x) . I hope this explains it a little better. The letters making up the function name are lower case L and lower case N.

Marta Reece - 3 years, 12 months ago

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