What is the value of 2sin((3pi)/5)cos((3pi)/5) ?

The value of 2sin((3pi)/5)cos((3pi)/5) is -(sqrt(2)sqrt(5-\sqrt{5)})/4

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2sin((3pi)/5)cos((3pi)/5)

2 sin (\frac{3 π}{5}) cos (\frac{3 π}{5})

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

Solution steps

2 sin (\frac{3 π}{5}) cos (\frac{3 π}{5})

Rewrite using trig identities:

sin (\frac{6 π}{5})

= sin (\frac{6 π}{5})

Rewrite using trig identities:

- sin (\frac{4 π}{5})

= - sin (\frac{4 π}{5})

Rewrite using trig identities:

sin (\frac{4 π}{5}) = \frac{2 5 - 5}{4}

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

sin (7.6)

3 \cdot sin (\frac{π}{4})

2 sin (\frac{2 π}{11}) cos (\frac{2 π}{11})

arctan (\frac{3.73}{9.8} + 0.6)

0 cos (7 0^{\circ})

What is the value of 2sin((3pi)/5)cos((3pi)/5) ?
The value of 2sin((3pi)/5)cos((3pi)/5) is -(sqrt(2)sqrt(5-\sqrt{5)})/4