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Relation between Trigonometric Ratios

If 3cos A= ...

Question

If $3 cos A = 4 sin A$ , find the value of :
$3 - {cot}^{2} A + c o s e c^{2} A$

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Solution

$3 - {cot}^{2} A + c o s e c^{2} A = 4$
Using $c o s e c^{2} A - c o t^{2} A = 1$

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