Hard trig equation ;)

JEE Mains 2015 Online › Trignometry questions › Hard trig equation ;)

Solve for x.

1+ \frac{1}{2\sin(30^0+ x)}= \frac{\sin(\frac{x}{2})}{\sin(\frac{x}{2}+ 60^0)}+ \frac{\sqrt{3}}{2\sin(\frac{x}{2}+ 60^0)}

#Mathematics #Trignometry

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Vivek @ Born this Way ·2011-11-01 09:24:04

Couldn't find one. Some Clues? :)

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ARKA(REEK) ·2011-11-02 10:25:23

HINT:

Take âˆš3/2 on the RHS as sin60Â°
The expr. on the RHS becomes sin(x/2)+sin60Â°sin(x/2+60Â°)
Now it can be rewritten as....
2sin(x/4+30)cos(x/4-30)2sin(x/4+30)cos(x/4+30)
RHS becomes....
cos(x/4-30)/cos(x/4+30)
Now take the 1 from LHS to RHS...
Hence simplify the resultant expr. to find the reqd. ans.

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Hard trig equation ;)

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