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27. Five mark exercise problems III

1. If

$cos \ A = \frac{3}{5}$ , then find the value of

$\frac{sin \ A - cos \ A}{2 tan \ A}$ .

Answer:

$\frac{sin \ A - cos \ A}{2 tan \ A} =$

$\frac{i}{i}$

2. If

$cos \ A = \frac{2x}{1 + x^2}$ , then find the values of

$sin \ A$ and

$tan \ A$ in terms of

$x$ .

Answer:

$sin \ A =$

$\frac{i - i^{i}}{i + i^{i}}$

$tan \ A =$

$\frac{i - i^{i}}{i x}$

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