Skip to content

Course home

Sign up

1.8 E: Trigonometry

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374
Question 4
86%

Prove the following trigonometric identities:

a.

cosec2θ−sec⁡2θ≡cot⁡2θ−tan⁡2θ\text{cosec}^2\theta - \sec^2\theta \equiv \cot^2\theta - \tan^2\thetacosec2θ−sec2θ≡cot2θ−tan2θ

[2]
b.

(cosecθ−sin⁡θ)2≡cot⁡2θ−cos⁡2θ(\text{cosec}\theta - \sin\theta)^2 \equiv \cot^2\theta - \cos^2\theta(cosecθ−sinθ)2≡cot2θ−cos2θ

[3]
Markscheme

1.8 E: Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.8 E: Trigonometry

317 exam-style questions on AQA A Level Maths 1.8 E: Trigonometry, covering 1.8.1 Trigonometric definitions, rules and radians, 1.8.2 Small angle approximations (A-level only), 1.8.3 Trigonometric functions and exact values, 1.8.4 Reciprocal and inverse trigonometric functions (A-level only), 1.8.5 Trigonometric identities, 1.8.6 Compound and double angle formulae (A-level only), 1.8.7 Solving trigonometric equations, 1.8.8 Proofs with trigonometric identities, and 1.8.9 Trigonometry in context. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank