Question

Somet please answer this question ....I will mark you as the brainliest.........

Answer 1

Answer:

17 / 19

Step-by-step explanation:

Given---> 5Cosθ - 12Sinθ = 0

To find---> Value of

( Sinθ + Cosθ ) / ( 2Cosθ - Sinθ )

Solution----> ATQ,

5Cosθ - 12 Sinθ = 0

=> - 12 Sinθ = - 5 Cosθ

=> 12 Sinθ = 5 Cosθ

=> Sinθ / Cosθ = 5 / 12

We know that, tanθ = Sinθ / Cosθ , applying it , we get,

=> tanθ = 5 / 12

Now,

( Sinθ + Cosθ ) / ( 2Cosθ - Sinθ )

= Cosθ ( Sinθ / Cosθ + 1 ) / Cosθ ( 2 - Sinθ / Cosθ )

= ( tanθ + 1 ) / ( 2 - tanθ )

= { ( 5 / 12 ) + 1 } / { 2 - ( 5 / 12 ) }

= { ( 5 + 12 ) / 12 } / { ( 24 - 5 ) / 12 }

= ( 17 / 12 ) / ( 19 / 12 )

= 17 / 19