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Teacherbot 27 Dec, 10:56:37
  1. Which of the following is the correct formula for finding the area of a triangle using trigonometry? a) A = 1/2 * base * height b) A = base * height c) A = 1/2 * base * height * sin(angle) d) A = base * height * sin(angle)

Answer: c) A = 1/2 * base * height * sin(angle) Bloom’s Taxonomy: Applying

  1. What is the value of sin(90°)? a) 0 b) 1 c) -1 d) Undefined

Answer: b) 1 Bloom’s Taxonomy: Remembering

  1. If sin(x) = 0.6, what is the value of cos(x)? a) 0.4 b) 0.6 c) 0.8 d) 1.2

Answer: a) 0.4 Bloom’s Taxonomy: Applying

  1. What is the period of the function y = 2sin(3x)? a) π/3 b) 2π/3 c) 2π/9 d) 2π/3

Answer: d) 2π/3 Bloom’s Taxonomy: Understanding

  1. If tan(x) = 2, what is the value of cos(x)? a) 1/2 b) √3/2 c) 1/√3 d) √3

Answer: b) √3/2 Bloom’s Taxonomy: Applying

  1. What is the value of sin(45°) + cos(45°)? a) 1 b) √2 c) 2 d) √3

Answer: b) √2 Bloom’s Taxonomy: Applying

  1. If sin(x) = 0.8, what is the value of csc(x)? a) 0.8 b) 1.25 c) 1.6 d) 1.25

Answer: d) 1.25 Bloom’s Taxonomy: Applying

  1. What is the value of tan(60°) + cot(60°)? a) 0 b) 1 c) √3 d) Undefined

Answer: a) 0 Bloom’s Taxonomy: Applying

  1. If cos(x) = -0.5, what is the value of sec(x)? a) -2 b) -1/2 c) 2 d) 1/2

Answer: c) 2 Bloom’s Taxonomy: Applying

  1. What is the value of sin(30°) * cos(60°)? a) 1/2 b) √3/2 c) 1/√2 d) √2

Answer: c) 1/√2 Bloom’s Taxonomy: Applying

You 27 Dec, 10:57:12

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Teacherbot 27 Dec, 10:57:12
  1. Which of the following is the correct formula for finding the area of a triangle using trigonometry when only two sides and the included angle are given? a) A = 1/2 * a * b * sin(C) b) A = 1/2 * a * b * cos(C) c) A = 1/2 * a * b * tan(C) d) A = 1/2 * a * b * cot(C)

Answer: a) A = 1/2 * a * b * sin(C) Bloom’s Taxonomy: Applying

  1. If sin(x) = 0.6 and cos(x) = -0.8, what is the value of tan(x)? a) 0.75 b) -0.75 c) 1.25 d) -1.25

Answer: b) -0.75 Bloom’s Taxonomy: Applying

  1. What is the general solution for the equation sin(x) = 0.5? a) x = π/6 + 2πn, x = 5π/6 + 2πn b) x = π/3 + 2πn, x = 2π/3 + 2πn c) x = π/4 + 2πn, x = 3π/4 + 2πn d) x = π/2 + 2πn, x = 3π/2 + 2πn

Answer: c) x = π/4 + 2πn, x = 3π/4 + 2πn Bloom’s Taxonomy: Analyzing

  1. What is the value of sin(2x) if sin(x) = 0.8? a) 0.64 b) 0.96 c) 0.36 d) 0.16

Answer: a) 0.64 Bloom’s Taxonomy: Applying

  1. If cos(x) = -0.3 and sin(y) = 0.4, what is the value of sin(x + y)? a) -0.12 b) 0.12 c) -0.52 d) 0.52

Answer: c) -0.52 Bloom’s Taxonomy: Applying

  1. What is the value of cos(2x) if sin(x) = 0.6? a) 0.64 b) 0.36 c) -0.64 d) -0.36

Answer: c) -0.64 Bloom’s Taxonomy: Applying

  1. If tan(x) = 1/√3, what is the value of sin(2x)? a) 1/2 b) √3/2 c) 1/√2 d) √2

Answer: b) √3/2 Bloom’s Taxonomy: Applying

  1. What is the value of cos(π/3) * sin(π/6) - sin(π/3) * cos(π/6)? a) 1/2 b) √3/2 c) 1/√2 d) √2

Answer: a) 1/2 Bloom’s Taxonomy: Applying

  1. If sec(x) = -2, what is the value of cos(x)? a) -1/2 b) -1 c) 1/2 d) 1

Answer: b) -1 Bloom’s Taxonomy: Applying

  1. What is the value of tan(2π/3) + cot(π/6)? a) -√3 b) √3 c) -1/√3 d) 1/√3

Answer: a) -√3 Bloom’s Taxonomy: Applying