Learning objective
E5 Understand and use tan theta = sin theta / cos theta; understand and use sin^2 theta + cos^2 theta = 1, sec^2 theta = 1 + tan^2 theta, and cosec^2 theta = 1 + cot^2 theta.
Read the explanation, check the common trap, then practise with flashcards and questions.
At a glance
0
Flashcards
0
Questions
Topic
Pure Mathematics
Subtopic
Trigonometric identities
Aqa A Level MathematicsPaper 1
Study support
Understand this objective
Quick explanation
E5 Understand and use tan theta = sin theta / cos theta; understand and use sin^2 theta + cos^2 theta = 1, sec^2 theta = 1 + tan^2 theta, and cosec^2 theta = 1 + cot^2 theta
- This point belongs to Pure Mathematics, especially Trigonometric identities.
- You need to be able to e5 Understand and use tan theta = sin theta / cos theta; understand and use sin^2 theta + cos^2 theta = 1, sec^2 theta = 1 + tan^2 theta, and cosec^2 theta = 1 + cot^2 theta.
- The key ideas to know are tan, cosec, and sec.
- Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.
Key concepts
tancosecseccot
Why it matters
This objective helps connect Trigonometric identities to exam-style questions, flashcards, and revision notes for Pure Mathematics.
Revision tools
Choose how to practise
Flashcards0 linked cards
No flashcards are published for this page yet.
Practice Questions0 linked questions
No questions are published for this page yet.
Revision notestopic notes
Open the full topic revision notes when you are ready to review this objective in context.
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
- B1 Understand and use the laws of indices for all rational exponents.
Laws of indices
- B2 Use and manipulate surds, including rationalising the denominator.
Surds
- B3 Work with quadratic functions and their graphs; use the discriminant including the conditions for real and repeated roots; complete the square; solve quadratic equations including solving quadratic equations in a function of the unknown.
Quadratic functions
- B4 Solve simultaneous equations in two variables by elimination and by substitution, including one linear and one quadratic equation.
Simultaneous equations