What is the value of sin(1/((\frac{2){7pi})}) ?

The value of sin(1/((\frac{2){7pi})}) is -1

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sin(1/((\frac{2){7pi})})

sin (\frac{1}{( \frac{2}{7 π} )})

- 1

Solution steps

sin (\frac{1}{( \frac{2}{7 π} )})

= sin (\frac{1}{\frac{2}{7 π}})

Simplify

= sin (\frac{7 π}{2})

sin (\frac{7 π}{2}) = sin (\frac{3 π}{2})

= sin (\frac{3 π}{2})

Rewrite using trig identities:

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

= sin (π) cos (\frac{π}{2}) + cos (π) sin (\frac{π}{2})

Use the following trivial identity:

sin (π) = 0

Use the following trivial identity:

cos (\frac{π}{2}) = 0

Use the following trivial identity:

cos (π) = (- 1)

Use the following trivial identity:

sin (\frac{π}{2}) = 1

= 0 \cdot 0 + (- 1) \cdot 1

Simplify

= - 1

arccos (1.75)

sin (\frac{8}{5})

arccos (\frac{- 10}{13 \cdot 17})

20.3 cos (3 0^{\circ})

cos (3 0^{\circ}) \cdot 20

What is the value of sin(1/((\frac{2){7pi})}) ?
The value of sin(1/((\frac{2){7pi})}) is -1