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amit verma Grade:
        

if 2 cosx + sinx = 1 then what is the value of 7cosx + 6sinx

6 years ago

Answers : (2)

manmeet singh chhina
18 Points
										

answer is 1

6 years ago
Jayesh Arun Kadam
34 Points
										

 


Cosx = (1-tan2x/2)/(1+tan2x/2)


Sin x = (2tanx/2)/(1+tan2x/2)


2cosx + sinx=1


2(((1-tan2x/2)/(1+tan2x/2)) + ((2tanx/2)/(1+tan2x/2))=1


Solving this we get quadratic in tanx/2


3tan2x/2 – 2tanx/2 -1=0


(3tanx/2+1)(tanx/2 -1)=0


Tanx/2 =1 or -1/3


7cosx + 6sinx


7((1-tan2x/2)/(1+tan2x/2)) + 6((2tanx/2)/(1+tan2x/2))


Putting value of Tanx/2, we get


When


Tanx/2 =1 Ans=6


When


Tanx/2=-1/3 Ans=2



6 years ago
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