Math, asked by gopalarao955, 10 months ago

sin5pi/3 is the question please answer fast​

Answers

Answered by Anonymous
0

Answer:

Because sin pi/3 = cos pi/6 and sin pi/6 = cos pi/3.

Since the non-reducible thirds and sixths are identical (pi/6, 5pi/6, 7pi/6, 11pi/6 and pi/3, 2pi/3, 4pi/3, 5pi/3) except for sign, any sin (fraction involving thirds) will possibly equal any cos (fraction involving sixths) and vice versa. It's just a matter of determining which sign you are looking for.

Since sin (5pi/3) is in the fourth quadrant, the y coordinate is negative. With sin and thirds, we are dealing with -sqrt(3)/2. This is cos and sixths. We need to know where this happens. It happens in the second or third quadrant. So this is either cos (5pi/6) or cos(7pi/6). Both work.

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