Trigonometry - Symmetry of Trigonometric Functions

Trigonometry - Symmetry of Trigonometric Functions

TGM Original Questions

Given that \(A\) and \(B\) are angles between \(\pi\) and \(2\pi\) such that \(\cot A = \frac{4}{3}\) and \(\sec B = \frac{5}{3}\), find the value of each of the following without using a calculator.

  1. \(\sin A\)
  1. \(\tan B\)
  1. \(\sec(A - 180^\circ)\)
  1. \(\operatorname{cosec}\left( B-{{90}^{\circ }} \right)\)

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Answer:(i) \(-\frac{3}{5}\) (ii) \(\frac{5}{4}\) (iii) \(-\frac{4}{3}\) (iv) \(-\frac{5}{3}\)

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