JAMB and WAEC Mathematics questions: Trigonometry

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

1. Question 21· Trigonometry· WAEC

   What is the value of cos 45°?

   • A1/2
   • B√3/2
   • C1/√2
   • D1

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   Explanation and discussion

2. Question 22· Trigonometry· WAEC

   From the top of a 30 m building, the angle of depression of a car is 30°. How far is the car from the foot of the building?

   • A30√3 m
   • B10√3 m
   • C15 m
   • D60 m

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   Explanation and discussion

3. Question 23· Trigonometry· JAMB

   The bearing of A from B is 060°. Find the bearing of B from A.

   • A060°
   • B240°
   • C120°
   • D300°

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   Explanation and discussion

4. Question 24· Trigonometry· WAEC

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

   • A3/4
   • B3/5
   • C5/4
   • D4/5

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   Explanation and discussion

5. Question 25· Trigonometry· JAMB

   From a point 20 m from the foot of a tree, the angle of elevation of its top is 45°. Find the height of the tree.

   • A40 m
   • B10 m
   • C20√2 m
   • D20 m

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   Explanation and discussion

6. Question 26· Trigonometry· WAEC

   Find the value of tan 45°.

   • A0
   • B1/√3
   • C√3
   • D1

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   Explanation and discussion

7. Question 27· Trigonometry· JAMB

   Without using tables, evaluate cos 300°.

   • A−1/2
   • B1/2
   • C√3/2
   • D−√3/2

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   Explanation and discussion

8. Question 28· Trigonometry· WAEC

   Which angle between 180° and 270° has a tangent equal to √3?

   • A225°
   • B210°
   • C240°
   • D260°

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   Explanation and discussion

9. Question 29· Trigonometry· WAEC

   A pole casts a 12 m shadow when the sun's elevation is 45°. The pole's height is

   • A24 m
   • B6 m
   • C12√2 m
   • D12 m

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   Explanation and discussion

10. Question 30· Trigonometry· JAMB

    From the top of a tower 30 m high, the angle of depression of a car is 30°. How far is the car from the foot of the tower?

    • A60 m
    • B10√3 m
    • C15 m
    • D30√3 m

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    Explanation and discussion

11. Question 31· Trigonometry· JAMB

    If sin θ = cos θ and θ is acute, find θ.

    • A60°
    • B30°
    • C45°
    • D90°

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    Explanation and discussion

12. Question 32· Trigonometry· WAEC

    The bearing of B from A is 065°. Find the bearing of A from B.

    • A295°
    • B115°
    • C245°
    • D155°

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    Explanation and discussion

13. Question 33· Trigonometry· WAEC

    If sin x = 0.6 and x is acute, find tan x.

    • A0.48
    • B1.33
    • C0.8
    • D0.75

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    Explanation and discussion

14. Question 34· Trigonometry· WAEC

    Find the value of cos 120°.

    • A−√3/2
    • B1/2
    • C−1/2
    • D√3/2

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    Explanation and discussion

15. Question 35· Trigonometry· JAMB

    Find the area of a triangle in which two sides are 8 cm and 10 cm and the angle between them is 30°.

    • A20 cm²
    • B40 cm²
    • C80 cm²
    • D10 cm²

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16. Question 36· Trigonometry· JAMB

    If sin θ = 3/5 and θ is acute, find cos θ.

    • A3/4
    • B4/5
    • C5/4
    • D5/3

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    Explanation and discussion

17. Question 37· Trigonometry· JAMB

    Evaluate sin 60° cos 30° + cos 60° sin 30°.

    • A1
    • B1/2
    • C√3/2
    • D0

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    Explanation and discussion

18. Question 38· Trigonometry· JAMB

    From a point 30 m from the foot of a tree, the angle of elevation of the top is 30°. Find the height of the tree.

    • A60 m
    • B30√3 m
    • C15 m
    • D10√3 m

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    Explanation and discussion

19. Question 39· Trigonometry· JAMB

    Find the value of tan 60°.

    • A√3
    • B1/√3
    • C1
    • D√3/2

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    Explanation and discussion

20. Question 40· Trigonometry· WAEC

    The bearing of B from A is 060°. Find the bearing of A from B.

    • A060°
    • B240°
    • C120°
    • D300°

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    Explanation and discussion