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studyTrigonometry
CoreMaths revision

Trigonometry (sin, cos, tan)

Choose the correct right-triangle ratio and solve for unknown sides or angles.

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Focus points
✓Identify opposite, adjacent and hypotenuse.
✓Choose SOH-CAH-TOA correctly.
✓Solve contextual right triangles.
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target Practice set

Question lineup

Try each question first, reveal a hint when you need one, then check the worked answer. Mark them done as you go — finish the set to claim your chips.

8 revision questions
Question 1FluencyCore
Original practice · Free Online Revision
Skill · sine ratio
In a right triangle, opposite=7 and hypotenuse=25. Find sin θ.
Question 2FluencyCore
Original practice · Free Online Revision
Skill · cosine ratio
Adjacent=12 and hypotenuse=13. Find cos θ.
Question 3FluencyCore
Original practice · Free Online Revision
Skill · tangent ratio
Opposite=9 and adjacent=12. Find tan θ.
Question 4FluencyCore
Original practice · Free Online Revision
Skill · find side
A right triangle has hypotenuse 15 cm and angle 38°. Find the adjacent side to 1 decimal place.
Question 5FluencyCore
Original practice · Free Online Revision
Skill · find angle
A right triangle has opposite side 8 cm and adjacent side 11 cm. Find θ to 1 decimal place.
Question 6ApplicationCore
Original practice · Free Online Revision
Skill · application
A 6 m ladder makes 68° with the ground. How high up the wall does it reach?
Question 7ReasoningCore
Original practice · Free Online Revision
Skill · conceptual reasoning
Why is sin θ always between 0 and 1 for acute angles?
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · combined geometry
A right triangle has area 30 cm² and one acute angle 45°. Find its two perpendicular side lengths.