Question

prove that (cos ø-cot ø)²=1-cos ∅ / 1+cos ∅ ​

Answer 1

Answer:

It is already proved sis.......

Step-by-step explanation:

Answer 2

Answer :-

( cosec ø - cot ø )^2 = 1 - cosø / 1+cos∅

1+cos∅cosec²∅ - 2cot∅ cosec∅ + cot²∅

2cot∅ cosec∅ + cot²∅1/sin²∅ -cos²∅ / sin²∅ - 2 × 1 / sin∅ × cos∅ / sin∅

/ sin∅(1+cos²∅-2cos∅)/ sin²∅

sin²∅(1-cos∅)²/ 1-cos²∅

1-cos²∅((1-cos∅) (1-cos∅)) / ((1-cos∅) (1-cos∅))

1-cos²∅((1-cos∅) (1-cos∅)) / ((1-cos∅) (1-cos∅))cancelling (1-co∅)

1-cos²∅((1-cos∅) (1-cos∅)) / ((1-cos∅) (1-cos∅))cancelling (1-co∅)(1-cos∅ ) / (1+cos∅)

hence prove

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