3 years ago

How do i find the sin 11pi/2 without using a calculator?

1 answer:

7 0

The values of sin cycle on the domain 0 to 2π
The value of sin(π/2) = 1
The value of sin(2π/2) = 0
The value of sin(3π/2) = sin(π + π/2)= -1
Therefore, if the angle can be written as:
nπ + π/2, where n is any odd number, the value of sin(nπ + π/2) = -1
sin(11π/2) = sin(5π + π/2) = -1

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