Posted by janet on .
Please can you help me with this question?
Choose the option which is a false statement:
A arctan(tan2/3pi))=1/3pi
B arccos(cos(3/4pi))=3/4pi
C sin(arcsin(1/2pi))=1/2pi
D arcsin(1/2squareroot3)=1/3pi
E arcsin(sin(3/4pi))=1/4pi
F arccos (1/2squareroot2)=1/4pi

maths 
MathMate,
The righthandside of all the answers are in terms of π, typically for angles.
The lefthandsides all return angles (arccos, arctan...) except one.
We also note that 1≤sin(x)≤1
so it is impossible that sin(x)>1.
Can you find that case?