Question

all trignometric identities

Answer 1

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Trigonometric Identities

1. sin²A + cos²A = 1

=> sin²A = 1 - cos²A

=> cos²A = 1 - sin²A

2. sec²A - tan²A = 1

=> sec²A = 1 + tan²A

=> tan²A = sec ²A - 1

Some additional identities used rarely

=> (secA - tanA)(secA + tanA) = 1

=> secA - tanA = 1/(tanA + secA)

and

=> secA + tanA = 1/(secA - tanA)

3. cosec²A - cot²A = 1

=> cot²A = cosec²A - 1

=> cosec²A = 1 + cot²A

Some additional identities used rarely

=> cosec²A - cot²A = 1

=> (cosecA - cotA)(cotA + cosecA) = 1

=> cotA + cosecA = 1/(cosecA - cotA)

and

=> cosecA - cotA = 1/(cotA + cosecA)

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Hope this helps ✌️

Answer 2

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