Question

if 5 cot theta equals to 3 find the value of 5 sin theta minus 3 cos theta upon 4 sin theta + 3 cos theta​

Answer 1

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Answer 2

Answer: 16/29

Step-by-step explanation:\

Given:

$5cot\theta =3$

To find:

The value of-   $5sin\theta -3cos\theta /4sin\theta +3cos\theta$

Calculation:

$5cot\theta =3\\Cot\theta =3/5\\cot\theta =base/perpendicular\\Hypotenuse=\sqrt{3^{2}+5^{2}}=\sqrt{34}\\5sin\theta -3cos\theta /4sin\theta +3cos\theta=(5\times 5/\sqrt{34})-(3\times 3/\sqrt{34})/(4\times 5/\sqrt{34}+3\times 3/\sqrt{34})\\=25-9/20+9=16/29$