Learning objective
E2 Understand and use the standard small angle approximations of sine, cosine and tangent, including sin theta approximately theta, cos theta approximately 1 - theta^2/2, and tan theta approximately theta where theta is in radians.
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Topic
Pure Mathematics
Subtopic
Small angle approximations
Aqa A Level MathematicsPaper 1
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Quick explanation
E2 Understand and use the standard small angle approximations of sine, cosine and tangent, including sin theta approximately theta, cos theta approximately 1 - theta^2/2, and tan theta approximately theta where theta is in radians
- This point belongs to Pure Mathematics, especially Small angle approximations.
- You need to be able to e2 Understand and use the standard small angle approximations of sine, cosine and tangent, including sin theta approximately theta, cos theta approximately 1 - theta^2/2, and tan theta approximately theta where theta is in radians.
- The key ideas to know are small angle approximations and radians.
- Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.
Key concepts
small angle approximationsradians
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This objective helps connect Small angle approximations to exam-style questions, flashcards, and revision notes for Pure Mathematics.
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Open revision notesRelated learning objectives
- A1 Understand and use the structure of mathematical proof, proceeding from given assumptions through a series of logical steps to a conclusion; use methods of proof including proof by deduction and proof by exhaustion; use disproof by counter example; use proof by contradiction including proof of the irrationality of sqrt(2), the infinity of primes and application to unfamiliar proofs.
Proof
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- B2 Use and manipulate surds, including rationalising the denominator.
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- B4 Solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation.
Simultaneous equations