Math Practice
Find the angle in the right range: [−π/2, π/2] for arcsin, [0, π] for arccos, (−π/2, π/2) for arctan. The later problems use a triangle to simplify compositions.
Evaluate
Evaluate
Evaluate
Evaluate
arcsin returns angles in
Evaluate
arccos returns angles in
Evaluate
arctan returns angles in
Evaluate
Evaluate
The angle in
Evaluate
Find
Opposite 3, hypotenuse 5, so adjacent 4:
Find
Opposite 3, adjacent 4, hypotenuse 5:
Find
Adjacent 5, hypotenuse 13, so opposite 12:
Mathematics verification: Mathematical formulas, calculations, worked examples and solutions are reviewed for accuracy before publication. How we check our work
These problems follow the inverse trigonometric functions lesson. Check every answer against the range of the function.
| Function | Range |
|---|---|
Type pi or π, for example 2pi/3 or -π/4. A decimal accurate to three places is accepted too.
Because arcsin can only return angles between −π/2 and π/2, and the angle in that range with the same sine is π/6.