Podcast
Questions and Answers
What is the domain of the function f(x) = sin^(-1)(2x) + sin^(-1)((1/2) - (1/4))?
What is the domain of the function f(x) = sin^(-1)(2x) + sin^(-1)((1/2) - (1/4))?
- [-1/2, 1]
- [-1, 1/2] (correct)
- [-1/4, 1/2]
- [-1/2, 1/4]
What is the value of x in the equation tan^-1x + 2cot^-1x = πab + c(b - a) / (a + b)?
What is the value of x in the equation tan^-1x + 2cot^-1x = πab + c(b - a) / (a + b)?
- 1/3
- -(1/3)
- 2
- 3 (correct)
What is the value of the expression sin^(-1)(sin(5Ï€/7)) + cos^(-1)(cos(5Ï€/7))?
What is the value of the expression sin^(-1)(sin(5Ï€/7)) + cos^(-1)(cos(5Ï€/7))?
- π/3
- π/2
- π/7
- 0 (correct)
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?
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?
What is the value of cos^(-1)(cos(cos^(-1)(cos(x)))) where x ∈ [0, π/2]?
What is the value of cos^(-1)(cos(cos^(-1)(cos(x)))) where x ∈ [0, π/2]?
What is the value of sin^(-1)(sin(12)) + cos^(-1)(cos(12))?
What is the value of sin^(-1)(sin(12)) + cos^(-1)(cos(12))?
What is the value of cos^2θ - sinθ if tan^-1sin2θ - 2sinθ + 3 + cot^-1(5secy + 1) = 2?
What is the value of cos^2θ - sinθ if tan^-1sin2θ - 2sinθ + 3 + cot^-1(5secy + 1) = 2?
What is the value of sin(2cos^(-1)(x) + sin^(-1)(x)) when x = 1/5?
What is the value of sin(2cos^(-1)(x) + sin^(-1)(x)) when x = 1/5?
What is the range of k for which the equation 5 arctan(x^2 + x + k) + 3 arccot(x^2 + x + k) = 2Ï€ has two distinct solutions?
What is the range of k for which the equation 5 arctan(x^2 + x + k) + 3 arccot(x^2 + x + k) = 2Ï€ has two distinct solutions?
What is the value of x in the equation tan^-1x + 2cot^-1x = πab + c(b - a) / (a + b)?
What is the value of x in the equation tan^-1x + 2cot^-1x = πab + c(b - a) / (a + b)?
If a sin^(-1)(x) - b cos^(-1)(x) = c, then what is the value of a sin^(-1)(x) + b cos^(-1)(x)?
If a sin^(-1)(x) - b cos^(-1)(x) = c, then what is the value of a sin^(-1)(x) + b cos^(-1)(x)?
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?
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?
