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Sonu
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Asked: 2021-07-19T23:18:41+05:30 In:

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.

best math ncert solutionexercise 8.4 ncertintroduction to trigonometry ncertncert class 10th solution
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    1. Guru

      (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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