sin+cos/sin-cos+sin-cos/sin+cos=2/sin²-cos² prove...
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sin + cos / sin - cos + sin - cos/ sin + cos
∴sin²+cos²+sin²-cos²/(sin-cos)²
we know that
sin² + cos² = 1_____1
replacing sin²+ cos² with 1
∴1 + sin²- cos² / (sin-cos)²
sin² + sin² / (sin-cos)²_____(∵ sin² + cos² = 1
∴ sin² = 1 - cos² )
2 sin²/ (sin-cos)²
hope it helps u
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