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JAMB Mathematics questions: Trigonometry

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

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  1. Question 1· Trigonometry· JAMB

    A man walks 5 km north and then 12 km east. How far is he from his starting point?

    Explanation and discussion

  2. Question 2· Trigonometry· JAMB

    A man walks 5 km due east and then 12 km due north. How far is he from his starting point?

    Explanation and discussion

  3. Question 3· Trigonometry· JAMB

    In triangle ABC, a = 10 cm, angle A = 30° and angle B = 45°. Find b.

    Explanation and discussion

  4. Question 4· Trigonometry· JAMB

    In triangle ABC, a = 7 cm, b = 5 cm and angle C = 60°. Find c.

    Explanation and discussion

  5. Question 5· Trigonometry· JAMB

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

    Explanation and discussion

  6. Question 6· Trigonometry· JAMB

    Solve sin θ = ½ for 0° ≤ θ ≤ 180°.

    Explanation and discussion

  7. Question 7· Trigonometry· JAMB

    If cos θ = 5/13 and θ is acute, find tan θ.

    Explanation and discussion

  9. Question 9· Trigonometry· JAMB

    A ladder 13 m long reaches 12 m up a vertical wall. How far is the foot of the ladder from the wall?

    Explanation and discussion

  10. Question 10· Trigonometry· JAMB

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

    Explanation and discussion

  12. Question 12· Trigonometry· JAMB

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

    Explanation and discussion

  13. Question 13· 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.

    Explanation and discussion

  14. Question 14· Trigonometry· JAMB

    Without using tables, evaluate cos 300°.

    Explanation and discussion

  15. Question 15· 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?

    Explanation and discussion

  16. Question 16· Trigonometry· JAMB

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

    Explanation and discussion

  17. Question 17· 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°.

    Explanation and discussion

  20. Question 20· 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.

    Explanation and discussion

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