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Introduction to Trigonometry
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16/06/2021 11:09 am
Topic starter
Choose the correct option. Justify your choice.
1 + tan2A/1 + cot2A =
(A) sec2 A
(B) -1
(C) cot2A
(D) tan2A
1 Answer
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16/06/2021 11:11 am
Correct option: (D) tan2A
Explanation:
We know that,
tan2A = 1/cot2A
Now, substitute this in the given problem, we get
1+tan2A/1+cot2A
= (1+1/cot2A)/1+cot2A
= (cot2A + 1/cot2A) × (1/1 + cot2A)
= 1/cot2A = tan2A
So, 1+tan2A/1 + cot2A = tan2A