Question #1a1ed

Question

Question #1a1ed

1 Answer

Impact of this question

1134 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-25T06:05:14

$x=sqrt(3)/3$

Explanation:

$"arccot"(x) + 2arcsin(sqrt(3)/2) = pi$

The inverse sine function $arcsin(x)$ is defined as the unique value in the interval $[-pi/2,pi/2]$ such that $sin(arcsin(x)) = x$ . On that interval, we have $sin(pi/3) = sqrt(3)/2$ as a well known angle. Thus $arcsin(sqrt(3)/2) = pi/3$

$=> "arccot"(x) + (2pi)/3 = pi$

$=> "arccot"(x) = pi/3$

$=> cot("arccot"(x)) = cot((pi)/3)$

$=> x = cot((pi)/3)$

$=cos((pi)/3)/sin((pi)/3)$

$=(1/2)/(sqrt(3)/2)$

$=1/sqrt(3)$

$=sqrt(3)/3$

Science

Math

Humanities

... and beyond

Question #1a1ed

1 Answer

Explanation:

Related questions

Impact of this question