Algebra readiness
Choose principal values and valid signs · Diagrams
Principal inverse-trigonometric graphs
See the principal angle range
Domain: [−1, 1]. Principal range: [−π/2, π/2]. Increasing, with both endpoints included.
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Choose a principal inverse value
- Check the inverse function domain.
- Find the angle in its principal range.
- Check by applying the original function.
![Principal inverse sine increases on closed domain[-1,1] from minuspi/2 to pi/2. Inverse cosine decreases on[-1,1] from pi to 0, passing through (0, pi/2). Inverse tangent increases for every real input, with horizontal asymptotes minuspi/2 and pi/2 that are never attained.](/study-diagrams/lesson-diagrams/cjc-readiness-inverse-trig.svg)
![Principal inverse sine increases on closed domain[-1,1] from minuspi/2 to pi/2. Inverse cosine decreases on[-1,1] from pi to 0, passing through (0, pi/2). Inverse tangent increases for every real input, with horizontal asymptotes minuspi/2 and pi/2 that are never attained.](/lesson-diagrams/cjc-readiness-inverse-trig.svg)