Trigonometry might sound complex, but JAMB usually asks very simple questions from this topic. Most questions are based on basic trigonometric ratios and how they are used to solve real-world problems involving angles, height, and distances.
If you understand the basic concepts and how to use them in right-angled triangles, you’ll find Trigonometry to be one of the easiest parts of the exam.
Let’s break it down in a way that makes sense and prepares you to score full marks in this section.
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What JAMB Really Tests in Trigonometry
You’re not going to be asked to prove identities or draw complicated graphs. JAMB focuses mostly on:
- Right-angled triangles
- The three main trigonometric ratios
- Simple calculations involving height and distances
- Angle of elevation and angle of depression
Everything comes back to knowing how to apply the correct ratio to the correct triangle.
Understand the Trigonometric Ratios
The three key ratios are:
- Sine (sin) = Opposite / Hypotenuse
- Cosine (cos) = Adjacent / Hypotenuse
- Tangent (tan) = Opposite / Adjacent
These are used when dealing with right-angled triangles.
To remember which to use, think of the shortcut “SOH CAH TOA”:
- Sine = Opposite / Hypotenuse
- Cosine = Adjacent / Hypotenuse
- Tangent = Opposite / Adjacent
Once you know two sides or one side and one angle, you can always find the missing value.
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What to Do When You See a Trig Question
First, check if the triangle involved is a right angle. If yes, label the sides:
- The side opposite the right angle is the hypotenuse
- The side next to the given angle (but not the hypotenuse) is the adjacent
- The side facing the angle is the opposite
Then choose the correct ratio based on what you’re given and what you’re looking for.
Example:
In a right-angled triangle, the angle is 30°, and the hypotenuse is 10 cm. Find the opposite side.
You’re looking for the opposite, and you’re given the hypotenuse. So use: sin 30° = Opposite / Hypotenuse
Substitute: 0.5 = Opposite / 10 → Opposite = 0.5 × 10 = 5 cm
That’s your answer.
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Elevation and Depression Questions
These types of questions simply involve looking up or down from a point. They’re still solved using the same sin, cos, or tan ratios—you just need to draw a simple right-angled triangle based on the information given.
Always sketch a diagram to avoid confusion.
Final Words
Trigonometry questions in JAMB 2025 will not be too difficult if you practice. Focus on identifying which sides of the triangle are given, what you’re solving for, and which ratio to use.
Start with simple examples. Use past questions to see the common styles. With time, you’ll start solving these questions in seconds—and picking up easy marks.
Thank you, I have learnt a lot