If costhita =3/5 then what is the value of 6tanthita-5costhita

1.	If costhita =3/5 then what is the value of 6tanthita-5costhita
Answer» $\bigstar$ Answer : 5 is the answer $\bigstar$ Step-by-step EXPLANATION : $\star$ GIVEN $cos\theta=\frac{3}{5}$ $\implies \frac{adj.side}{hypotenuse}=\frac{3}{5} \\\\$ $\star$ Let third side be OPPOSITE side. => By using Pythagoras THEOREM, $\star$ opp²+adj²=hyp² => opp²=5²-3² => opp²=25-9 =>opp²=16 => opp=4 $\star$ So , $6tan\theta-5cos\theta\\\\\implies 6.\frac{opp.side}{adj.side}- 5.\frac{adj.side}{hyp.}\\\\ \implies 6.\frac{4}{3}-5.\frac{3}{5}\\\\ \implies 2.4 -3\\\\\implies 8-3\\\\\implies 5$

Answer»

$\bigstar$ Answer :

5 is the answer

$\bigstar$ Step-by-step EXPLANATION :

$\star$ GIVEN $cos\theta=\frac{3}{5}$

$\implies \frac{adj.side}{hypotenuse}=\frac{3}{5} \\\\$

$\star$ Let third side be OPPOSITE side.

=> By using Pythagoras THEOREM,

$\star$ opp²+adj²=hyp²

=> opp²=5²-3²

=> opp²=25-9

=>opp²=16

=> opp=4

$\star$ So ,

$6tan\theta-5cos\theta\\\\\implies 6.\frac{opp.side}{adj.side}- 5.\frac{adj.side}{hyp.}\\\\ \implies 6.\frac{4}{3}-5.\frac{3}{5}\\\\ \implies 2.4 -3\\\\\implies 8-3\\\\\implies 5$

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If costhita =3/5 then what is the value of 6tanthita-5costhita​

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