Prove :( cosec ø - cot ø )^2 = 1 - cosø /1+cost
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Step-by-step explanation:
( cosec ø - cot ø )^2 = 1 - cosø /1+cos∅
cosec²∅ -2cot∅ cosec∅ + cot²∅
1/sin²∅ -cos²∅/sin²∅ - 2× 1/sin∅ × cos∅/ sin∅
(1+cos²∅-2cos∅)/sin²∅
(1-cos∅)²/1-cos²∅
((1-cos∅) (1-cos∅)) / ((1-cos∅) (1-cos∅))
cancelling (1-co∅)
(1-cos∅ ) / (1+cos∅)
hence proved
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