Sine Function: Sine Of Pi, 6Pi/6, And 4Pi/4 Explained

sin ๐œ‹ ๐‘œ๐‘Ÿ (6๐œ‹/6) ๐‘œ๐‘Ÿ (4๐œ‹/4)

0

sin ๐œ‹ is equal to 0, since the sine function has a value of 0 at 0ยฐ, which is equivalent to ๐œ‹ radians.

sin (6๐œ‹/6) is also equal to 0. We can simplify 6๐œ‹/6 to ๐œ‹, which is the same angle as before. Therefore, the sine of 6๐œ‹/6 is also 0.

sin (4๐œ‹/4) is equal to 1, since the sine function has a value of 1 at 90ยฐ or ๐œ‹/2 radians, and 4๐œ‹/4 is equivalent to 2๐œ‹ radians, which is the same angle as 360ยฐ, or a full rotation. Therefore, the sine of 4๐œ‹/4 is 1.

In summary:

sin ๐œ‹ = 0
sin (6๐œ‹/6) = 0
sin (4๐œ‹/4) = 1

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