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Choose the correct option. Justify your choice. 1+tan2A/1+cot2A = (A) sec2 A (B) -1 (C) cot2A (D) tan2A. Q.4(4)

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How i solve this optional question of ncert class 10 of the  chapter intoduction of trigonometry please help me to solve the question no. 4(4) of exercise 8.4 .Choose the correct option. Justify your choice. 1+tan2A/1+cot2A = (A) sec2 A (B) -1 (C) cot2A (D) tan2A.

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  1. (D) is correct.

    Justification:

    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

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