Question

prove that (1-cos²∅)(1+cos²∅)=1​

Answer 1

Answer:

incomplete question

Step-by-step explanation:

Answer 2

to prove : (1-cos²∅)(1+cos²∅) = cot²∅

Step-by-step explanation:

=> (1-cos²∅)(1+cos²∅)

(cos²∅ = 1-sin²∅)

=> (1 + sin²∅ - 1) (1 + 1-sin²∅)

=> (sin²∅) (1-sin²∅)

divide all terms by sin²

=> (1) (cosec²∅ - 1)

=> cosec²∅ - 1

(1+ cot²∅ = cosec²∅

=> cosec² - 1 = cot²∅

hence, proved.