Question

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Please solve this question asap!
Complete solution required!!
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Answer 1

Answer:

$\frac{271}{979}$

Step-by-step explanation:

We have,

3 cos ϴ = 5 sin ϴ

So we can manipulate it as ,

tan ϴ = 3/5

So now we can get the values of other trigonometric ratios,

sin ϴ =

$\frac{3}{ \sqrt{34} }$

Cos ϴ =

$\frac{5}{ \sqrt{34} }$

Sec ϴ =

$\frac{ \sqrt{34} }{5}$

So now we put the values in the equation,

$\frac{5sinϴ \: - \: 2 {sec}^{3} + \: 2cos \:ϴ }{5sinϴ \: - \: 2 {sec}^{3} - \: 2cosϴ }$

=

$\frac{5( \frac{3}{ \sqrt{34} } ) - 2 \times \frac{34 \sqrt{34} }{125} + \frac{10}{ \sqrt{34} } }{5( \frac{3}{ \sqrt{34} } + 2(34 \times \frac{ \sqrt{34} }{125} ) - \frac{10}{ \sqrt{34} } )}$

=

$\frac{(15)(125) - (2) ({34})^{2} + 1250 }{(15)(125) + (2) {(34)}^{2} - 1250}$

=

$\frac{271}{979}$

Please mark as brainliest and rate as 5 stars,

took a lot of time to solve this on phone :)

Answer 2

Answer:

Refer the attachment for your answer..^_^