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problem 1003

easy trigonometry

State whether the following are true or false. Justify your answer. (i) The value of \(\tan A\) is always less than 1. (ii) \(\sec A = \frac{12}{5}\) for some value of angle \(A\). (iii) \(\cos A\) is the abbreviation used for the cosecant of angle \(A\). (iv) \(\cot A\) is the product of \(\cot\) and \(A\). (v) \(\sin \theta = \frac{4}{3}\) for some angle \(\theta\).