Inverse Trigonometric Functions
Math ⇒ Trigonometry
Inverse Trigonometric Functions starts at 12 and continues till grade 12.
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See sample questions for grade 12
arccos(-1) is equal to:
Evaluate cos-1(0).
Evaluate cos-1(1/2).
Evaluate sin(sin-1(0.6)).
Evaluate sin-1(-1/2).
Evaluate tan(tan-1(-2)).
Find the value of cos(cos-1(0.8)).
Find the value of cos-1(-1/2).
Which of the following is the correct value of cos-1(0)?
(1) 0
(2) π/2
(3) π
(4) 1
Which of the following is the correct value of sin-1(-1)?
(1) -π/2
(2) 0
(3) π/2
(4) -π
Which of the following is the correct value of tan-1(-1)?
(1) -π/4
(2) 0
(3) π/4
(4) -π/2
Which of the following is the domain of tan-1(x)?
(1) [-1, 1]
(2) (-∞, ∞)
(3) [0, π]
(4) [0, 2π]
If cos-1(x) = y, then sin-1(x) = _____.
If sin-1(x) + cos-1(x) = _____.
If sin-1(x) + sin-1(y) = π/2, then x2 + y2 = _____.
If sin-1(x) = y, then cos-1(x) = _____.
If tan-1(x) + tan-1(y) = tan-1((x + y)/(1 - xy)), then xy < 1. True or False?
True or False: cos(cos-1(x)) = x for all real x.
True or False: cos-1(x) + cos-1(-x) = π for all x in [-1, 1].
True or False: sin(sin-1(x)) = x for all real x.
