How do you evaluate $arcsin 1$ $arcsin 1$ ?

Question

How do you evaluate $arcsin 1$ $arcsin 1$ ?

1 Answer

Impact of this question

24109 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-07T13:59:17

$arcsin (1) = \frac{π}{2}$ $arcsin(1) = pi/2$

Explanation:

$arcsin$ $arcsin$ is defined as having a range restricted to $[- \frac{π}{2}, + \frac{π}{2}]$ $[-pi/2,+pi/2]$

If $arcsin (1) = θ XX \to XX sin (θ) = 1$ $arcsin(1) = theta color(white)("XX")rarrcolor(white)("XX")sin(theta)=1$

That is for $θ \in [- \frac{π}{2}, + \frac{π}{2}]$ $theta in [-pi/2,+pi/2]$ with a unit circle, the ratio of the opposite side (y-coordinate) to the hypotenuse must be $= 1$ $=1$

The only angle meeting this requirement is $θ = \frac{π}{2}$ $theta= pi/2$

Science

Math

Humanities

... and beyond

How do you evaluate $arcsin 1$ $arcsin 1$ ?

1 Answer

Explanation:

Related questions

Impact of this question

Science

Math

Humanities

... and beyond

How do you evaluate arcsin1arcsin 1?

1 Answer

Explanation:

Related questions

Impact of this question

How do you evaluate $arcsin 1$ $arcsin 1$ ?