Skip to content

Course home

Sign up

1.8 E: Trigonometry

EasyMediumHard
1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950515253545556575859606162636465666768697071727374
Question 48

A specialized sonar sensor calculates the angle of reflection α\alphaα, in radians, from a submerged object at distance xxx meters using the model:

α(x)=arcsin⁡(2x−115) \alpha(x) = \arcsin\left(\frac{2x - 11}{5}\right) α(x)=arcsin(52x−11​)

Determine the maximum possible domain of α\alphaα.

Select the correct option:

  1. {x∈R:3≤x≤8}\{x \in \mathbb{R} : 3 \le x \le 8\}{x∈R:3≤x≤8}
  2. {x∈R:−1≤x≤1}\{x \in \mathbb{R} : -1 \le x \le 1\}{x∈R:−1≤x≤1}
  3. {x∈R:−π2≤α≤π2}\{x \in \mathbb{R} : -\frac{\pi}{2} \le \alpha \le \frac{\pi}{2}\}{x∈R:−2π​≤α≤2π​}
  4. {x∈R:3<x<8}\{x \in \mathbb{R} : 3 < x < 8\}{x∈R:3<x<8}
[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