Question

5cosθ=12sinθ find (sinθ+cosθ)/(2cosθ-sinθ)

Answer 1

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Solution ___✌️✌️

5 cosA=12 SinA

5/12=tanA

Now make a triangle whose altitude is 5 and base is 12

So, by pythagoras ___

Hypo=13

SinA=5/13

CosA=12/13

Now,

SinA+cosA=5/13+12/13=17/13

2cosA-sinA=24/13-5/13=19/13

Now,

SinA+cosA/2cosA-sinA=17/13*13/19

=17/19

Note__☺️

I use 'A' instead of theta____

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