Question

If 3 tano = 4 then
3 sino + 2coso
3 sino 2 coso
??

Answer 1

Answer:

⇒ 3

Step-by-step explanation:

Given :

3 tanФ = 4

⇒ tanФ = $\frac{4}{3}$

Now,

The value of  -$\bf{\frac{3 sin Ф + 2 cosФ }{2 cosФ - 2 sinФ } }$

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Divide numerator and denominator cosФ , we get

⇒${\frac{3 sinФ }{cosФ } +\frac{2cosФ }{cosФ } \\=\frac{ sinФ }{cosФ } - \frac{2 cos Ф }{cosФ }$

⇒$\bf{\frac{3tanФ+ 2 }{=3tanФ- 2 } }$

⇒ $\bf{\frac{3 ×\frac{4}{3} + 2 }{3× \frac{4}{3} - 2 } }$

After cancellation , we get

= $\bf{ \frac{4+2}{4-2}}$ = $\bf{\frac{6}{2} }$ = 3

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Therefore,

$\bf{\frac{3sin Ф + 2 cosФ }{2 cosФ - 2 sin Ф } }$

= 3

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