Trigonometry - Symmetry of Trigonometric Functions

Trigonometry - Symmetry of Trigonometric Functions

TGM Original Questions

Given that \(A\) and \(B\) are angles in the same quadrant such that \(\sin A = \frac{12}{13}\) and \(\cos B = -\frac{12}{13}\), find the value of each of the following without using a calculator.

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

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Answer:(i) \(-\frac{5}{13}\) (ii) \(-\frac{13}{5}\) (iii) \(\frac{5}{13}\) (iv) \(-\frac{5}{12}\)

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