Simplest form.tan^1( cosx/1+sinx)
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pradnya102:
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GOOD MORNING
Cos x = Cos²x/2 - Sin² x/2
And
1 + Sin x = { Cos x/2 + Sin x/2 }²
=>
Tan-¹ { (Cos² x/2 - Sin² x/2)/ (Cos x/2 + Sin x/2)²}
=>
Tan-¹{( Cos x/2 - Sin x/2)/ ( Cos x/2 + Sin x/2 )}
=>
Tan-¹ { Tan ( π/4 - x/2 ) }
=>
π/4 - x/2
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