Question

7 Sin A + 24 cos A is equal to 25 then find the value of tan a​

Answer 1

Please mark it as brainliest

Answer 2

The value of tan A would be $\dfrac{7}{24}$

Step-by-step explanation:

Since we have given that

$7\sin A + 24\cos A=25$

Now, dividing 25 on both the sides,

$\dfrac{7}{25}\sin A+\dfrac{24}{25}\cos A=1$

As we know that

$\sin^2A+\cos^2A=1\\\\\sin A .\sin A+\cos A .\cos A=1$

So, we have

$\sin A=\dfrac{7}{25}\\\\\cos A=\dfrac{24}{25}$

So, the value of tan A would be

$\dfrac{sin A}{\cos A}=\dfrac{7\times 25}{24\times 25}=\dfrac{7}{24}$

Hence, the value of tan A would be $\dfrac{7}{24}$

# learn more:

7 Sin A + 24 cos A is equal to 25 then find the value of tan a​

https://brainly.in/question/13048905