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