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)}
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2 Answers
1HINT:
Take √3/2 on the RHS as sin60°
The expr. on the RHS becomes sin(x/2)+sin60°sin(x/2+60°)
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.
