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AP ECET MATHEMATICS Multiple Choice Questions (MCQs)

Trigonometry MCQs - AP ECET

Trigonometry MCQs - AP ECET

  1. What is the value of sin(45°) + cos(45°)?

    • a) √2
    • b) √3
    • c) 1
    • d) √2/2

    Answer: a) √2

  2. Which of the following is the identity for sin(2θ)?

    • a) 2sin(θ)cos(θ)
    • b) sin²(θ) + cos²(θ)
    • c) 2cos²(θ) - 1
    • d) 1 - 2sin²(θ)

    Answer: a) 2sin(θ)cos(θ)

  3. The formula for cos(A + B) is:

    • a) cosA + cosB
    • b) cosA * cosB
    • c) cosA * sinB - sinA * cosB
    • d) cosA * sinB + sinA * cosB

    Answer: c) cosA * sinB - sinA * cosB

  4. What is the transformation of sin(A + B) into the sum of two trigonometric functions?

    • a) sinA * cosB + cosA * sinB
    • b) sinA * cosB - cosA * sinB
    • c) cosA * cosB + sinA * sinB
    • d) cosA * cosB - sinA * sinB

    Answer: a) sinA * cosB + cosA * sinB

  5. Which of the following is a simple trigonometric equation?

    • a) sin²(θ) + cos²(θ) = 1
    • b) tan(θ) = 1
    • c) cos(θ) = 0
    • d) All of the above

    Answer: d) All of the above

  6. The value of cos(2θ) can be written as:

    • a) cos²(θ) - sin²(θ)
    • b) 1 - 2sin²(θ)
    • c) 2cos²(θ) - 1
    • d) All of the above

    Answer: d) All of the above

  7. What is the inverse function of sin(x)?

    • a) cos(x)
    • b) tan(x)
    • c) arcsin(x)
    • d) cot(x)

    Answer: c) arcsin(x)

  8. The formula for tan(A + B) is:

    • a) (tanA + tanB) / (1 - tanA * tanB)
    • b) (tanA - tanB) / (1 + tanA * tanB)
    • c) tanA + tanB
    • d) (tanA * tanB) / (1 - tanA * tanB)

    Answer: a) (tanA + tanB) / (1 - tanA * tanB)

  9. What is the value of sin(90° - θ)?

    • a) cos(θ)
    • b) sin(θ)
    • c) tan(θ)
    • d) 1

    Answer: a) cos(θ)

  10. The inverse of cos(x) is:

    • a) sec(x)
    • b) cos(x)
    • c) arccos(x)
    • d) cot(x)

    Answer: c) arccos(x)

  11. If sin(θ) = 1/2, then the value of θ is:

    • a) 30°
    • b) 45°
    • c) 60°
    • d) 90°

    Answer: a) 30°

  12. Which of the following is a property of a triangle?

    • a) The sum of the angles of a triangle is 180°
    • b) The sum of the angles of a quadrilateral is 360°
    • c) The sum of the interior angles of a polygon is (n-2)×180°
    • d) All of the above

    Answer: a) The sum of the angles of a triangle is 180°

  13. The value of tan(45°) is:

    • a) 0
    • b) 1
    • c) √2
    • d) √3

    Answer: b) 1

  14. The formula for sin(2A) is:

    • a) 2sinA + 2cosA
    • b) 2sinAcosA
    • c) sin²A - cos²A
    • d) sinA + cosA

    Answer: b) 2sinAcosA

  15. The value of cos(0°) is:

    • a) 0
    • b) 1
    • c) √2
    • d) -1

    Answer: b) 1



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