JAMB and WAEC Mathematics questions: Trigonometry

52 questions with answers and explanations. Tap an option to check yourself.

1. Question 41· Trigonometry· WAEC

   In a right-angled triangle, the side opposite angle θ is 5 cm and the hypotenuse is 13 cm. Find sin θ.

   • A12/13
   • B5/13
   • C5/12
   • D13/5

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   Explanation and discussion

2. Question 42· Trigonometry· WAEC

   Convert the bearing S 30° E to a three-figure bearing.

   • A150°
   • B030°
   • C210°
   • D120°

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   Explanation and discussion

3. Question 43· Trigonometry· WAEC

   If tan θ = 8/15 and θ is acute, find sin θ.

   • A17/8
   • B15/17
   • C8/15
   • D8/17

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   Explanation and discussion

4. Question 44· Trigonometry· JAMB

   If tan θ = 1/√3 and θ is acute, find θ.

   • A45°
   • B60°
   • C30°
   • D90°

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5. Question 45· Trigonometry· JAMB

   If sin θ = 8/17 and θ is acute, find cos θ.

   • A9/17
   • B8/15
   • C17/15
   • D15/17

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6. Question 46· Trigonometry· JAMB

   Find the value of sin 150°.

   • A−√3/2
   • B−½
   • C√3/2
   • D½

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7. Question 47· Trigonometry· WAEC

   A ladder 10 m long leans against a wall and makes an angle of 60° with the ground. How high up the wall does it reach?

   • A5√3 m
   • B5 m
   • C10√3 m
   • D5√2 m

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8. Question 48· Trigonometry· JAMB

   If tan θ = 3/4 and θ is acute, find sin θ.

   • A5/3
   • B4/5
   • C3/4
   • D3/5

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9. Question 49· Trigonometry· JAMB

   cos (90° − θ) is equal to

   • A−sin θ
   • Bcos θ
   • Ctan θ
   • Dsin θ

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10. Question 50· Trigonometry· WAEC

    Evaluate sin 60° × cos 30°.

    • A1/2
    • B3/4
    • C√3/2
    • D1

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11. Question 51· Trigonometry· WAEC

    What is the value of sin 30°?

    • A1/√2
    • B√3/2
    • C1/2
    • D√3

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12. Question 52· Trigonometry· WAEC

    A boy walks 8 km due north and then 6 km due east. How far is he from his starting point?

    • A10 km
    • B14 km
    • C2 km
    • D12 km

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    Explanation and discussion