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Mathematics for IGCSE & O level - Pythagoras' Theorem And Trigonometry (Section 5)

  • 1
    In a triangle, if a = 6 cm, b = 8 cm, and angle A = 30°, how many possible triangles can be formed?
    Responder
    (B)
    1
  • 2
    When should we use the inverse trigonometric functions?
    Responder
    (A)
    When you know the sides and need to find the angle.
  • 3
    If you have a right triangle with a hypotenuse of length 10 and one leg of length 6, what is the length of the other leg?
    Responder
    (B)
    8
  • 4
    What is the inverse function of sine?
    Responder
    (A)
    sin-1
  • 5
    If a triangle has sides of length 3, 4, and 5, what is the cosine of the largest angle?
    Responder
    (A)
    0
  • 6
    What is the formula for calculating the area of a triangle?
    Responder
    (A)
    1/2 * base * height
  • 7
    What is the range of values for the sine function?
    Responder
    (A)
    -1 to 1
  • 8
    Which trigonometric function(s) are needed to solve for the unknown sides of a right angle triangle, given only the angle and the hypotenuse?
    Responder
    A
    B
  • 9
    To solve for the length of the side with a known adjacent length and angle, what do we use?
    Responder
    (C)
    Tangent ratio
  • 10
    If two angles of a triangle are 30° and 60°, what is the measure of the third angle?
    Responder
    (C)
    90°
  • 11
    What does the term 'adjacent' refer to in the context of a right triangle and a given angle?
    Responder
    (B)
    The side next to the given angle (not the hypotenuse)
  • 12
    Which of the following statements is/are correct?
    Responder
    A
    B
    C
  • 13
    What is the relationship between the sides and the angles of a right-angled triangle, as described by Pythagoras and trigonometric ratios?
    Responder
    (D)
    They are inter-related; changing one affects the others.
  • 14
    When calculating the area of a triangle, what information do you need?
    Responder
    A
    B
  • 15
    Which of the following is equivalent to the tangent of an angle?
    Responder
    (C)
    Opposite / Adjacent
  • 16
    What does 'CAH' stand for in SOHCAHTOA?
    Responder
    (B)
    Cosine = Adjacent / Hypotenuse
  • 17
    Which of the following statements is true regarding non-right-angled triangles?
    Responder
    (C)
    The sine rule and cosine rule are applicable.
  • 18
    If you know the lengths of two sides of a right triangle, how can you find the length of the third side?
    Responder
    (C)
    Use the Pythagorean Theorem
  • 19
    In the mnemonic SOHCAHTOA, what does 'TOA' stand for?
    Responder
    (A)
    Tangent = Opposite / Adjacent
  • 20
    When using the Law of Cosines, if the included angle is 90 degrees, what does the formula simplify to?
    Responder
    (A)
    a^2 + b^2 = c^2