Skip to content
MathsGenie logo
Quick links
Open app

Course home

  1. A Level
  3. Maths AQA
  5. Question bank

1.8.4 Reciprocal and inverse trigonometric functions (A-level only)

EasyMedium
1234567891011121314151617181920
Question 18

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]

1.8.4 Reciprocal and inverse trigonometric functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /1.8.4 Reciprocal and inverse trigonometric functions (A-level only)