Topic explanation

Standard explanation

y=arcsin x means sin y=x with x in [-1,1] and y in [-pi/2,pi/2].

Key points

• arcsin definition and graph
• rule
• worked example
• arcsin definition and graph: y=arcsin x means sin y=x with x in [-1,1] and y in [-pi/2,pi/2].
• CONCEPT AND RULE: y=arcsin x means sin y=x with x in [-1,1] and y in [-pi/2,pi/2].
• METHOD: For arcsin definition and graph, identify the given information and required result. Select the matc
• y=arcsin x means sin y=x with x in [-1,1] and y in [-pi/2,pi/2].
• Worked pattern: arcsin(12)=pi/6, not every coterminal angle.

Labelled diagram