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studyTrigonometry
AdvancedMaths revision

Trigonometry (Identities and Applications)

Manipulate identities, solve equations and model non-right triangles and periodic phenomena.

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Focus points
✓Use core identities.
✓Solve multi-step trigonometric equations.
✓Model geometry with sine and cosine rules.
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The Wise Owl

Guides study flow, revision planning, and calmer focus sessions.

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 · identity
Simplify sin x / cos x.
Question 2FluencyCore
Original practice · Free Online Revision
Skill · identity
Simplify (1−cos²x)/sin x.
Question 3ReasoningCore
Original practice · Free Online Revision
Skill · proof
Prove (1+tan²x)cos²x=1.
Question 4FluencyCore
Original practice · Free Online Revision
Skill · trig equation
Solve 2sin x−1=0 for 0°≤x≤360°.
Question 5FluencyCore
Original practice · Free Online Revision
Skill · quadratic trig equation
Solve 2cos²x−3cos x+1=0 for 0°≤x<360°.
Question 6ApplicationCore
Original practice · Free Online Revision
Skill · elevation application
A building casts a 14 m shadow when angle of elevation is 52°. Find height.
Question 7ApplicationStretch
Original practice · Free Online Revision
Skill · bearing application
A ship sails 18 km east then 25 km on bearing 040° from its new position. Find its straight-line distance from the start.
Question 8ChallengeStretch
Original practice · Free Online Revision
Skill · identity reasoning
If sin x+cos x=1/2, find sin2x.