What is the value of sin(-pi/5) ?

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

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sin(-pi/5)

sin (- \frac{π}{5})

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

Solution steps

sin (- \frac{π}{5})

Use the following property:

sin (- x) = - sin (x)

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

= - sin (\frac{π}{5})

Rewrite using trig identities:

sin (\frac{π}{5}) = \frac{2 5 - 5}{4}

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

cot (arcsin (- \frac{2}{8}))

47 cos (10 8^{\circ})

arcsinh (4)

cos (1 0^{\circ}) cos (3 5^{\circ}) - sin (1 0^{\circ}) sin (3 5^{\circ})

cos^{2} (3 2^{\circ})

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