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Fundamentals of trigonometry

Class 11 · Mathematics · 8 questions

Name: ____________________   Date: ____________

  1. 180 degrees is equal to how many radians?

    • A 2 pi
    • B 1
    • C pi / 2
    • D pi
  2. sin(90 degrees) equals:

    • A 0
    • B -1
    • C 1
    • D 1/2
  3. The length of an arc of radius 5 cm subtending an angle of 2 radians is:

    • A 10 cm
    • B 2.5 cm
    • C 25 cm
    • D 7 cm
  4. tan x is equal to:

    • A sin x / cos x
    • B cos x / sin x
    • C sin x cos x
    • D 1 / sin x
  5. sin(2x) is equal to:

    • A sin² x
    • B cos² x - sin² x
    • C 2 sin x cos x
    • D 2 sin x
  6. cos² x - sin² x equals:

    • A sin 2x
    • B tan 2x
    • C 1
    • D cos 2x
  7. sin(A + B) equals:

    • A sin A sin B + cos A cos B
    • B sin A cos B + cos A sin B
    • C cos A cos B
    • D sin A + sin B
  8. The period of sin x is:

    • A 2 pi
    • B pi / 2
    • C pi
    • D 4 pi

Answer key

1. D, 2. C, 3. A, 4. A, 5. C, 6. D, 7. B, 8. A

  1. 180 degrees = pi radians.

  2. sin 90 = 1.

  3. Arc length = r x theta = 10 cm.

  4. tan x = sin x / cos x.

  5. This is the double angle formula.

  6. This is a double angle identity.

  7. This is the addition formula.

  8. sin repeats every 2 pi.