Math, asked by anshu5001saw, 9 months ago

plz solve this question​

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Answered by vanshkjain000
0

Answer:

Step-by-step explanation:

2 sec²∅ - (sec²∅)² - 2 cosec²∅ + (cosec²∅)²

2 sec²∅ - 2 cosec²∅ - (sec²∅)² + (cosec²∅)²

2 (sec²∅ - cosec²∅) - (sec²∅)² + (cosec²∅)²

2 ((1 + tan²∅) - (1 + cot²∅)) - (1 + tan²∅)² + (1 + cot²∅)²  

[ (sec²∅= 1 +tan²∅), (cosec²∅= 1 +cot²∅) ]

2 (1 + tan²∅ - 1 - cot²∅) -  (1 + (tan²∅)² + 2 tan²∅) + (1 + (cot²∅)² + 2 cot²∅)

[ (a+b)² = a² + b² +2 ab]

2 (tan²∅ - cot²∅) - 1 -  (tan²∅)² - 2 tan²∅ + 1 + (cot²∅)² + 2 cot²∅

2 tan²∅ - 2 cot²∅ - (tan²∅)² - 2 tan²∅ + (cot²∅)² + 2 cot²∅

(cot²∅)² - (tan²∅)².

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