What is the value of sin0 deg sin10 deg sin2O deg sin3O deg sin360 deg ........

Mathematics (NDA) Trigonometry

What is the value of sin0° + sin10° + sin2O° + sin3O° + ... + sin360°?

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2022 NDA -1 Math

-1

- The problem asks for the sum of the sine of angles at every 10 degrees from 0° to 360°.

- The sine function is periodic with a period of 360°, so the sum includes a full cycle.

- Sine values repeat symmetrically over 0° to 360°, canceling out each other.

- This symmetry means that positive and negative values from 0° to 180° are canceled by values from 180° to 360°.

- The sum is equivalent to summing symmetric sine values over the unit circle.

Correct Answer: ?? Option: 2, 0

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