Question

यदि 7 sin A+24 cos A = 25, तब tan A का मान निकालिए।
राति
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Answer 1

Answer:

that's the answer ☺️ in the figures write

Answer 2

$\large\sf\underline{Given:-}$

• $\sf\:7 Sin A + 24 Cos A = 25$

$\large\sf\underline{To\:find:-}$

$\sf\:Value\:of\:tan A$

$\large\sf\underline{Solution :-}$

$\sf\:7 Sin A + 24 Cos A = 25$

Dividing 25 on both sides :

$\sf↦\:\frac{7 Sin A}{25} + \frac{24 Cos A}{25} = \frac{25}{25}$

$\sf↦\:\frac{7}{25} \times SinA+ \frac{24}{25} \times Cos A= 1$

We know that,

$\tt\red{↦\:Sin^{2} A + Cos^{2} A = 1}$

$\sf↦\:Sin A \times Sin A + Cos A \times Cos A = 1$

$\tt\purple{⟹\:Sin A= \frac{7}{25}}$

$\tt\purple{⟹\:Cos A = \frac{24}{25}}$

So the value of Tan A would be :

$\sf↦\:Tan A = \frac{Sin A}{Cos A }$

$\sf↦\:Tan A = \frac{7}{25} \div \frac{24}{25}$

$\sf↦\:Tan A = \frac{7}{25} \times \frac{25}{24}$

$\sf↦\:Tan A = \frac{7 \times 25}{25 \times 24 }$

$\tt\purple{⟹\:Tan A = \frac{7 }{24 }}$

• Thnku :)