Question

prove that 1+tan²A/1+cot²A=(1-tanA/1-cotA)²=tan²A​

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

1+tan²A=sec²A

1+cot²A=cosec²2

so, 1+tan²A/1+cot²A=sec²A/cosec²A=tan²A

now elaborate, (1-tanA/1-cotA)²=(1-sinA/cosA²)/(1-cosA/sinA)²=(cosA-sinA)²sin²A/(sinA-cosA)²cos²A=tan²A