What is the value of cos((pi*(0+1))/8)+0.148*(0)-0.9062 ?

The value of cos((pi*(0+1))/8)+0.148*(0)-0.9062 is (2500sqrt(2+\sqrt{2)}-4531)/(5000)

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cos((pi(0+1))/8)+0.148(0)-0.9062

cos (\frac{π \cdot ( 0 + 1 )}{8}) + 0.148 \cdot (0) - 0.9062

\frac{2500 2 + 2 - 4531}{5000}

Solution steps

cos (\frac{π ( 0 + 1 )}{8}) + 0.148 (0) - 0.9062

= cos (\frac{π ( 0 + 1 )}{8}) + \frac{37}{250} \cdot 0 - \frac{4531}{5000}

Simplify:

\frac{π ( 0 + 1 )}{8} = \frac{π}{8}

cos (\frac{π}{8}) + \frac{37}{250} \cdot 0 - \frac{4531}{5000} = \frac{5000 cos ( \frac{π}{8} ) - 4531}{5000}

= \frac{5000 cos ( \frac{π}{8} ) - 4531}{5000}

Rewrite using trig identities:

cos (\frac{π}{8}) = \frac{2 + 2}{2}

= \frac{5000 \cdot \frac{2 + 2}{2} - 4531}{5000}

Simplify

\frac{5000 \cdot \frac{2 + 2}{2} - 4531}{5000} : \frac{2500 2 + 2 - 4531}{5000}

= \frac{2500 2 + 2 - 4531}{5000}

2 sec (2)

\frac{1200}{tan ( 2 1 ^{\circ} )}

30 sin (5 0^{\circ})

arcsinh (3)

1.33 \cdot sin (4 5^{\circ})

What is the value of cos((pi*(0+1))/8)+0.148*(0)-0.9062 ?
The value of cos((pi*(0+1))/8)+0.148*(0)-0.9062 is (2500sqrt(2+\sqrt{2)}-4531)/(5000)