if tan A=5/12 find cosec B
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Answer:
cosec A = 13/5
Step-by-step explanation:
tanA = 5/12
cotA = 1/tanA = 1/(5/12) = 12/5
By the formula,
cosec²A - cot²A = 1
cosec²A - (12/5)² = 1
cosec²A - 144/25 = 1
cosec²A = 1 + 144/25
cosec²A = (25+144)/25
cosec²A = 169/25
cosecA = √(169/25) = 13/5
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