Evaluate tan−1(√3) − sec−1(−2).
Inverse Trigonometric Functions
Original Khojo Papers practice question — not from a past board paper.
sin−1(−1/2) = −π/6 and cos−1(−1/2) = 2π/3
No citable source has been recorded for this record. Treat it as practice material, not as fact.
The principal branch of the inverse sine is [−π/2, π/2] and that of the inverse cosine is [0, π].
From the same topic and chapter, at a similar level.
Evaluate tan−1(√3) − sec−1(−2).
Inverse Trigonometric Functions
Write the principal value branch of tan−1x and of cot−1x.
Inverse Trigonometric Functions
Prove that sin−1x + cos−1x = π/2 for x in [−1, 1].
Inverse Trigonometric Functions
Evaluate tan−1(1) + cos−1(1/2) + sin−1(1/2).
Inverse Trigonometric Functions
Evaluate the integral of x2 with respect to x, and the definite integral of x2 from 0 to 1.
Integrals
If A = [[2, 3], [1, 4]], find A−1.
Matrices