Question

If 3 cot θ = 4, find the value of
5 sin θ - 3 cos θ / 5 sin θ + 3 cos θ​

Answer 1

$\Huge \purple {\mathbb {\underline {\overline {~A~N~S~W~E~R:~}}}}$

If 3 cot θ = 4, then

5 sin θ - 3 cos θ / 5 sin θ + 3 cos θ = 1/9 .

Solution with the explanation has been attached above.

Answer 2

$3cot \theta \: = 4$

$cot \theta \: = 4 \div 3$

[tex]cot \theta \: = cos/theta /div sin/theta

then

[tex]sin \theta \: = 3

[tex]cos \theta \: = 4

the answer is

(5(3) -3(4))/5(3)+3(4)

(15-12)/15+12

-3/27

=-1/9

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