Question

trigonometry questions please fast​

Answer 1

$\orange{\underline{\huge{\bold{\textit{\green{\bf{QUESTION}}}}}}}$

FIND VALUE:-

$\frac{5 \cos(\theta) - 3 \sin(\theta)}{ \cos(\theta) + 2 \sin(\theta) }$

GIVEN :-

$4 \tan(\theta ) = 5$

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$\frac{5 \cos(\theta) - 3 \sin(\theta)}{ \cos(\theta) + 2 \sin(\theta) } \\ \\ \tan(\theta) = \frac{5}{4} = \frac{p}{b} \\ \: \: \: \: \: put \: the \: value \: in \: equation \\ \\ \frac{5 ( \frac{4}{h} ) - 3 ( \frac{5}{h} )}{ ( \frac{4}{h} ) + 2 ( \frac{5}{h} ) } \\ \\ \frac{5(4) - 3 (5)}{ (4) + 2 (5) } \\ \frac{(20) - (15)}{ (4) + (10) } \\ \frac{5}{ 14} ...ans$