Math, asked by rajumahajan0107, 1 year ago

Prove :( cosec ø - cot ø )^2 = 1 - cosø /1+cost

Answers

Answered by dhana232323
1

Answer:

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

Similar questions