Question #400f1

Question

Question #400f1

1 Answer

Impact of this question

2021 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-03-06T01:42:30

$sqrt(2 - sqrt3)/2$

Explanation:

Use unit circle, trig table , and property of complement arcs.
$sin ((11pi)/12) = sin (-pi/12 + pi) = sin (pi/12)$
Evaluate $sin (pi/12)$ by using trig identity:
$2sin^2 a = 1 - cos 2a$ .
In this case,
$2sin^2 (pi/12) = 1 - cos (pi/6) = 1 - sqrt3/2 = (2 - sqrt3)/2$
$sin^2 (pi/12) = (2 - sqrt3)/4$
$sin (pi/12) = +- sqrt(2 - sqrt3)/2$ .
Sine $sin (pi/12)$ is positive, take the positive value.
Finally, $sin ((11pi)/12) = sin (pi/12) = sqrt(2 - sqrt3)/2$

Science

Math

Humanities

... and beyond

Question #400f1

1 Answer

Explanation:

Related questions

Impact of this question