Math, asked by CJ20, 1 month ago

1+tan^2A / 1+cot^2A is equal to ?
a)sec^2A
b)-1
c)cot^2A
d)tan^2A

Answers

Answered by sanjanamahadik04

1

Answer:

d)tan^2A

Step-by-step explanation:

Given that: 1+ tan² A/1+ cot²A

We will first solve the equation

= 1+ tan²A / 1+ cot²A

Using the trignometric identities we know that

1+tan²A= Sec²A and

1+cot²A= Cosec²A

= Sec²A/ Cosec²A

On taking the reciprocals we get

= Sin²A/Cos²A

= tan²A

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