12 Questions
What is the domain of the function f(x) = sin^(-1)(2x) + sin^(-1)((1/2) - (1/4))?
[-1, 1/2]
What is the value of x in the equation tan^-1x + 2cot^-1x = πab + c(b - a) / (a + b)?
3
What is the value of the expression sin^(-1)(sin(5π/7)) + cos^(-1)(cos(5π/7))?
0
What is the value of 'a' for which the equation ax^2 + sin^-1x^2 - 2x + 2 + cos^-1x^2 - 2x + 2 = 0 has a real solution?
π/2
What is the value of cos^(-1)(cos(cos^(-1)(cos(x)))) where x ∈ [0, π/2]?
x
What is the value of sin^(-1)(sin(12)) + cos^(-1)(cos(12))?
0
What is the value of cos^2θ - sinθ if tan^-1sin2θ - 2sinθ + 3 + cot^-1(5secy + 1) = 2?
1
What is the value of sin(2cos^(-1)(x) + sin^(-1)(x)) when x = 1/5?
1/5
What is the range of k for which the equation 5 arctan(x^2 + x + k) + 3 arccot(x^2 + x + k) = 2π has two distinct solutions?
(-∞, 4)
What is the value of x in the equation tan^-1x + 2cot^-1x = πab + c(b - a) / (a + b)?
3
If a sin^(-1)(x) - b cos^(-1)(x) = c, then what is the value of a sin^(-1)(x) + b cos^(-1)(x)?
0
What is the value of 'a' for which the equation ax^2 + sin^-1x^2 - 2x + 2 + cos^-1x^2 - 2x + 2 = 0 has a real solution?
π/2
Practice quiz on inverse trigonometric functions with multiple-choice questions, covering topics such as domain and range of inverse trig functions, and their applications. Test your understanding of these essential math concepts.
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