engineering mathematics MCQ #137

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

engineering mathematics MCQ #137

  1. Question 1

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

    • A) 5/√13
    • B) 7/√13
    • C) 3/√13
    • D) 1/√13

    Answer: 5/√13

    Explanation: Using right triangle with opposite = 2 and adjacent = 3, hypotenuse = √13, sin(θ) = 2/√13, cos(θ) = 3/√13, so sin(θ) + cos(θ) = 5/√13.