Skip to content

Course home

Sign up

1.8 E: Trigonometry

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374
Question 60

The function f f\,f is defined by f(x)=arcsin⁡xf(x) = \arcsin xf(x)=arcsinx, where f f\,f has its greatest possible domain.

Using set notation, state the range of fff.

Tick one box.

A

{f(x):−π2≤f(x)≤π2}\left\{f(x) : -\frac{\pi}{2} \leq f(x) \leq \frac{\pi}{2}\right\}{f(x):−2π​≤f(x)≤2π​}

B

{f(x):0≤f(x)≤π}\left\{f(x) : 0 \leq f(x) \leq \pi\right\}{f(x):0≤f(x)≤π}

C

{f(x):−1≤f(x)≤1}\left\{f(x) : -1 \leq f(x) \leq 1\right\}{f(x):−1≤f(x)≤1}

D

{f(x):f(x)∈R}\left\{f(x) : f(x) \in \mathbb{R}\right\}{f(x):f(x)∈R}

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