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chanakya rock ing Grade: 12
        

tan(90+x)=tan(x-50)tan(x)tan(x+50) wht is the min value of    ''x''?


 

7 years ago

Answers : (1)

Ramesh V
70 Points
										


tan (90+x)/tan x = tan( x+50). tan (x-50)/1


using componendo and dividendo priciple , we have


(tan (90+x) + tan x) /( tan (90+x) - tan x )= (tan( x+50). tan (x-50) + 1) / (tan( x+50). tan (x-50) - 1)


Sin (90+2x) / sin 90 = cos 100 / cos 2x


here sin 90 = 1


so, by multiplying 2 on both sides we have


2 sin(2x+90).cos 2x + 2 cos 100 = 0


sin (4x+100) + 1+ 2cos 100 =0


on simplification gives


cos 4x + 1 - 2.sin 10 = 0


2* cos22x = 2* sin 10


so, cos22x = sin 10


so , x = cos-1[(sin 10)1/2] / 2


 


 


 
7 years ago
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