Question

Evaluate.
1. sin^-1(-1/2)
2. cos^-1[(-root 3)/2]
3. arctan[(root3)/3]
4. cos(arccos2/3)
5. arcsin(sin 2pi)
6. sin(arccos 1)

I got these values as my answers:
1. -pi/6
2. 5pi/6
3. pi/6
4. 2/3
5. 2pi
6. 0

Can someone please tell me if they are right? thank you

Answer 1

The answers for inverse trigonometric depends on the range. Most of the time,
function range
asin(x) -π/2 to π/2
acos(x) 0 π
atan(x) -&pi/2 to π/2

Based on the above ranges, here are your answers:

1. -pi/6 correct
2. 5pi/6 correct
3. pi/6 correct
4. 2/3 correct
5. (2pi) 0
6. 0 correct

Answer 2

Thank you MathMate.

Answer 3

You're very welcome!