1 + tan square A upon 1 + cos squared equals to 1 minus tan A by 1 minus cot a is equal to tan square A
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tan2A = (1 + tanA - sinA) (1 + cosA)
Given: 1 + tan2A/ (1 + cos2A) = (1 - tanA)/ (1 - cotA)
To Find: tan2A
Explanation:
1. We can multiply both sides with (1 + cos2A) and (1 - cotA).
2. After multiplication, we have 1 + tan2A = (1 - tanA)(1 + cos2A).
3. We can move the terms on the right side to the left side.
4. After simplification, we get tan2A = (1 - tanA)(1 + cos2A) - 1
5. We can simplify the expression further.
6. We get tan2A = (1 + tanA - sinA) (1 + cosA)
tan2A = (1 + tanA - sinA) (1 + cosA)
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