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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..
Question: Evaluate sin^(-1)(sin(5π/6)).Options: 5π/6π/67π/60Correct Answer: 5π/6Solution: Since 5π/6..
Question: What is the value of cos^(-1)(-1)?Options: 0ππ/22πCorrect Answer: πSolution: cos^(-1)(-1) ..
Question: If y = sin^(-1)(x), what is dy/dx?Options: 1/sqrt(1-x^2)1/(1-x^2)sqrt(1-x^2)1/xCorrect Ans..
Question: Find the value of sin^(-1)(sin(π/3)).Options: π/32π/3π/60Correct Answer: π/3Solution: Sinc..
Question: What is the range of the function y = cos^(-1)(x)?Options: [0, π][0, 2π][−π/2, π/2][−1, 1]..
Question: Evaluate tan^(-1)(1) + tan^(-1)(1).Options: π/2π/4π/30Correct Answer: π/2Solution: tan^(-1..
Question: If x = sin^(-1)(3/5), what is the value of cos(x)?Options: 4/53/52/51/5Correct Answer: 4/5..
Question: What is the value of sin^(-1)(1/2)?Options: π/6π/4π/3π/2Correct Answer: π/6Solution: sin^(..
Question: Find the value of the determinant: | 2 3 1 | | 1 0 4 | | 5 6 7 |Options: -30-20203..
Question: Calculate the determinant \\( \\begin{vmatrix} 1 & 2 & 1 \\\\ 2 & 3 & 1 \\\\ 3 & 4 & 1 \\e..
Question: If \\( B = \\begin{pmatrix} 1 & 2 \\\\ 3 & 5 \\end{pmatrix} \\), what is \\( |B| \\)?Optio..
Question: Find the determinant of the matrix \\( \\begin{pmatrix} 2 & 1 \\\\ 3 & 4 \\end{pmatrix} \\..
Question: What is the determinant of the matrix \\( \\begin{pmatrix} 1 & 2 \\\\ 3 & 5 \\end{pmatrix}..
Question: Find the determinant of the matrix \\( \\begin{pmatrix} 2 & 3 & 1 \\\\ 1 & 0 & 2 \\\\ 4 & ..
