Question

Find exact value of sin 11pi/4

Answer 1

[AI-generated answer — Bot GPT 3.5]

The angle 11π/4 is in the third quadrant where sine values are negative. To find the exact value of sin(11π/4), we need to find the reference angle for this angle, which is π/4.

Since sine is negative in the third quadrant,

sin(11π/4) = -sin(π/4) = -sin(45°) = -1/√2 = -√2/2.

Therefore, the exact value of sin(11π/4) is -√2/2.