PROVE:SINA +COSA/SINA-COSA +SINA-COSA/SINA+COSA=2/1-2COS2A
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(sin A - cos A)/(sin A + cos A) + (sin A + cos A)/(sin A - cos A)
( sin A - cos A ) ² + ( sin A + cos A ) ²
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( sin A + cos A ) ( sin A - cos A )
sin²A - 2sinA cosA + cos²A + sin²A + 2 sinAcosA + cos²A
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( sin A + cos A ) ( sin A - cos A )
2
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sin ² A - cos ² A
2
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2 sin ² A - 1
( sin A - cos A ) ² + ( sin A + cos A ) ²
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( sin A + cos A ) ( sin A - cos A )
sin²A - 2sinA cosA + cos²A + sin²A + 2 sinAcosA + cos²A
---------------------------------------...
( sin A + cos A ) ( sin A - cos A )
2
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sin ² A - cos ² A
2
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2 sin ² A - 1
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