math (Trigonometry)
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Pratishtha2003:
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. tan ( x + 15 ) / tan ( x - 15 ) = 3
∴ sin (x+15) cos (x-15) / cos (x+15) sin (x-15) = 3/1
∴ by C-and-D,
... sin [ (x+15) + (x-15) ] / sin [ (x+15) - (x-15) ] = (3+1) / (3-1)
∴ sin 2x / sin 30 = 2
∴ sin 2x = 1 = sin π/2
∴ 2x = π/2
∴ basic solution is x = π/4 ............... Ans.
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