What is the value of ((2*5*4pi*cos^2(4pi*0.3)))/(1000) ?

The value of ((2*5*4pi*cos^2(4pi*0.3)))/(1000) is (pi(3+sqrt(5)))/(200)

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((254picos^2(4pi0.3)))/(1000)

\frac{( 2 \cdot 5 \cdot 4 π \cdot cos ^{2} ( 4 π \cdot 0.3 ) )}{1000}

\frac{π ( 3 + 5 )}{200}

Solution steps

\frac{( 2 \cdot 5 \cdot 4 π cos ^{2} ( 4 π 0.3 ) )}{1000}

= \frac{2 \cdot 5 \cdot 4 π cos ^{2} ( 4 π \frac{3}{10} )}{1000}

Simplify:

4 π \frac{3}{10} = \frac{6 π}{5}

\frac{2 \cdot 5 \cdot 4 π cos ^{2} ( \frac{6 π}{5} )}{1000} = \frac{π cos ^{2} ( \frac{6 π}{5} )}{25}

= \frac{π cos ^{2} ( \frac{6 π}{5} )}{25}

Rewrite using trig identities:

cos (\frac{6 π}{5}) = - \frac{5 + 1}{4}

= \frac{π ( - \frac{5 + 1}{4} ) ^{2}}{25}

Simplify

\frac{π ( - \frac{5 + 1}{4} ) ^{2}}{25} : \frac{π ( 3 + 5 )}{200}

= \frac{π ( 3 + 5 )}{200}

arcsin (\frac{14.1}{49.5})

2 (1) + cos (1)

arctan (17)

cos (3 0^{\circ} + 12 0^{\circ})

arctan (27 0^{\circ})

What is the value of ((2*5*4pi*cos^2(4pi*0.3)))/(1000) ?
The value of ((2*5*4pi*cos^2(4pi*0.3)))/(1000) is (pi(3+sqrt(5)))/(200)