If - is internal angle of n sided regular polygon- then sin- is equal to

The correct option is A sin 2π/n For n sided regular polygon nbsp; nbsp;θ = 2π nbsp;/ n ⇒sinθ nbsp; =sin 2π nbsp;/ n nbsp; ...

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Range of Trigonometric Ratios from 0 to 90 Degrees

If θ is int...

Question

If $θ$ is internal angle of n sided regular polygon, then $sin θ$ is equal to

s i n \frac{π}{n}

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s i n \frac{2 π}{n}

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s i n \frac{π}{2 n}

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s i n \frac{n}{π}

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Solution

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s i n \frac{π}{2 n} s i n \frac{2 π}{2 n} s i n \frac{3 π}{2 n} . . . . . . . . . s i n \frac{(n - 1) π}{2 n} = \frac{\sqrt{n}}{2^{n - 1}}

sin θ + sin (π + θ) + sin (2 π + θ) + sin (3 π + θ) + \dots

2021

n

6

\frac{3}{2} n

n

1, α_{1}, α_{2} α_{3} . . . . . . . . . . α_{n}_{-} 1

n^{t h}

s i n \frac{π}{n}, s i n \frac{2 π}{n}, s i n \frac{3 π}{n} . . . . . . . . . . \frac{(n - 1) π}{n}

The positive integer value of n>3 satisfying the equation

\frac{1}{s i n (\frac{π}{n})} = \frac{1}{s i n (\frac{2 π}{n})} + \frac{1}{s i n (\frac{3 π}{n})}

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