engineering mathematics MCQ #281

If cos(θ) = 2/3, then find the value of sin(2θ).

engineering mathematics MCQ #281

  1. Question 1

    Q1. If cos(θ) = 2/3, then find the value of sin(2θ).

    • A) 4√5/9
    • B) 2√5/9
    • C) 1/3
    • D) 2/3

    Answer: 4√5/9

    Explanation: Using the double angle formula, sin(2θ) = 2sin(θ)cos(θ). First, find sin(θ) = √(1 - cos²(θ)) = √5/3. Then, sin(2θ) = 2(√5/3)(2/3) = 4√5/9.