What is the value of 4cos(1.7pi) ?

The value of 4cos(1.7pi) is sqrt(2)sqrt(5-\sqrt{5)}

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4cos(1.7pi)

4 cos (1.7 π)

2 5 - 5

Solution steps

4 cos (1.7 π)

= 4 cos (\frac{17}{10} π)

Simplify:

\frac{17}{10} π = \frac{17 π}{10}

= 4 cos (\frac{17 π}{10})

Rewrite using trig identities:

cos (\frac{17 π}{10}) = cos (\frac{3 π}{10})

= 4 cos (\frac{3 π}{10})

Rewrite using trig identities:

cos (\frac{3 π}{10}) = \frac{2 5 - 5}{4}

= 4 \cdot \frac{2 5 - 5}{4}

Simplify

4 \cdot \frac{2 5 - 5}{4} : 2 5 - 5

= 2 5 - 5

sin (5) (9.8)

\frac{47 sin ( 83. 5 ^{\circ} )}{sin ( 2.8 )}

arctan (0.898)

arctan (9.065)

arccos (\frac{- 1}{1.73})

What is the value of 4cos(1.7pi) ?
The value of 4cos(1.7pi) is sqrt(2)sqrt(5-\sqrt{5)}