Skip to content

Course home

1.5 Trigonometry

1.5 Trigonometry

EasyMediumHard
12345678910111213141516171819202122232425262728293031323334353637383940414243444546474849505152535455
Question 10

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.

Select the correct answer.

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

1.5 Trigonometry Questions

  1. A Level
  2. /Maths
  3. /1.5 Trigonometry

317 exam-style questions on OCR A Level Maths 1.5 Trigonometry, covering 1.5.1 Definitions for all arguments, 1.5.2 Sine and cosine rules, 1.5.3 Area of a triangle, 1.5.4 Radian measure (A-level only), 1.5.5 Small angle approximations (A-level only), 1.5.6 Graphs of basic trigonometric functions, 1.5.7 Exact values in radians (A-level only), 1.5.8 Reciprocal and inverse trigonometric ratios (A-level only), 1.5.9 Graphs of reciprocal and inverse functions (A-level only), 1.5.10 Trigonometric identities, 1.5.11 Further trigonometric identities (A-level only), 1.5.12 Double angle and compound angle formulae (A-level only), 1.5.13 Geometrical proofs of formulae (A-level only), 1.5.14 Harmonic form Rcos / Rsin (A-level only), 1.5.15 Trigonometric equations, 1.5.16 Proof involving trigonometric functions (A-level only), and 1.5.17 Trigonometric functions in context. Each one has a worked solution and a mark scheme showing where the marks go.

Question bank