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Question: Evaluate the expression: tan^(-1)(1) + tan^(-1)(√3).Options: π/3π/22π/3πCorrect Answer: π/..
Question: If x = sin^(-1)(1/√2), then what is the value of cos^(-1)(x)?Options: π/4π/3π/2π/6Correct ..
Question: What is the value of sin^(-1)(1/2) + sin^(-1)(√3/2)?Options: π/3π/22π/3πCorrect Answer: π/..
Question: Evaluate cos(tan^(-1)(5/12)).Options: 12/135/1313/125/12Correct Answer: 12/13Solution: Usi..
Question: What is the range of the function y = sin^(-1)(x)?Options: [-π/2, π/2][0, π][-1, 1][0, 1]C..
Question: Find the value of sin^(-1)(√3/2).Options: π/3π/6π/42π/3Correct Answer: π/3Solution: sin^(-..
Question: Evaluate sin(tan^(-1)(3/4)).Options: 3/54/51/55/5Correct Answer: 3/5Solution: Using the ri..
Question: If x = sin^(-1)(1/2), what is the value of cos(x)?Options: 1/2√3/210Correct Answer: √3/2So..
Question: What is the value of tan^(-1)(1) + tan^(-1)(1)?Options: π/2π01Correct Answer: π/2Solution:..
Question: If sin^(-1)(x) + cos^(-1)(x) = π/2, then what is the value of x?Options: 01-11/2Correct An..
Question: If x = sin^(-1)(-1/2), then what is the value of x?Options: -π/6π/6-π/3π/3Correct Answer: ..
Question: If x = tan^(-1)(1), what is the value of x?Options: π/4π/3π/60Correct Answer: π/4Solution:..
Question: What is the range of the function y = tan^(-1)(x)?Options: (-π/2, π/2)(0, π)(0, 1)(-1, 1)C..
Question: Find the value of sin(cos^(-1)(1/2)).Options: √3/21/201Correct Answer: √3/2Solution: Let θ..
Question: If y = cos^(-1)(x), then what is dy/dx?Options: -1/√(1-x^2)1/√(1-x^2)1/x-1/xCorrect Answer..
Question: Evaluate tan(sin^(-1)(3/5)).Options: 3/44/35/33/5Correct Answer: 4/3Solution: Let θ = sin^..
Question: If x = sin^(-1)(1/√2), then what is the value of cos(x)?Options: 1/2√2/2√3/21Correct Answe..
Question: If sin^(-1)(x) + cos^(-1)(x) = π/2, then the value of x is:Options: 01-11/2Correct Answer:..
Question: What is the value of sec(tan^(-1)(1/√3))?Options: 2√33/21Correct Answer: 2Solution: Using ..
Question: Evaluate sin^(-1)(sin(π/3)).Options: π/32π/3π/60Correct Answer: π/3Solution: sin^(-1)(sin(..
Question: Evaluate cos(tan^(-1)(3/4)).Options: 4/53/55/43/4Correct Answer: 4/5Solution: Using the tr..
Question: Evaluate sin(cos^(-1)(1/2)).Options: √3/21/201Correct Answer: √3/2Solution: sin(cos^(-1)(1..
Question: What is the value of sec(sin^(-1)(1/2))?Options: √32√21Correct Answer: 2Solution: sec(sin^..
Question: If y = cos^(-1)(x), what is dy/dx?Options: -1/√(1-x^2)1/√(1-x^2)01Correct Answer: -1/√(1-x..
Question: What is the range of sin^(-1)(x)?Options: [-π/2, π/2][-1, 1][0, π][-π, π]Correct Answer: [..
Question: Find the value of sin(tan^(-1)(x)).Options: x/√(1+x^2)√(1+x^2)/x1/xxCorrect Answer: x/√(1+..
Question: Evaluate cos(tan^(-1)(1)).Options: √2/21/√210Correct Answer: √2/2Solution: Let θ = tan^(-1..
Question: What is the value of tan^(-1)(1)?Options: π/4π/3π/20Correct Answer: π/4Solution: tan^(-1)(..
Question: If x = sin^(-1)(3/5), what is cos(x)?Options: 4/53/55/41/5Correct Answer: 4/5Solution: Usi..
Question: If x = cos^(-1)(1/2), what is the value of sin(x)?Options: √3/21/201Correct Answer: √3/2So..
