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(Solved): 15. Given tan(x)=ba where x23 and tan(y)=dc where 0y2, evaluate in te ...

$15. Given \( \tan (x)=\frac{a}{b} \) where \( \pi \leq x \leq \frac{3 \pi}{2} \) and \( \tan (y)=\frac{c}{d} \) where \( 0 \l$

15. Given

tan (x) = \frac{a}{b}

where

π \leq x \leq \frac{3 π}{2}

and

tan (y) = \frac{c}{d}

where

0 \leq y \leq \frac{π}{2}

, evaluate in terms of a and : a)

cos (2 x)

b)

tan (x - y)

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Solution: given the tanx =   where
then

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