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Asked: 2021-07-19T20:13:22+05:30 In:

Choose the correct option and justify your choic: 2tan30°/1-tan230° = (A) cos 60° (B) sin 60° (C) tan 60° (D) sin 30° Q.2 (4)

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I don’t know how i can solve the ncert class 10 question of introduction of  trigonometry. Sir please help me to find out the best solution of the exercise 8.2 question Q.2 (4).Give me the easiest way to solve this question. Choose the correct option and justify your choic 2tan30°/1-tan230° = (A) cos 60° (B) sin 60° (C) tan 60° (D) sin 30°

best math ncert solutionexercise 8.2 ncertintroduction to trigonometry ncertncert class 10th solution
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    1. Guru

      (C) is correct.

      Substitute the of tan 30° in the given equation

      tan 30° = 1/√3

      2tan30°/1-tan230° =  2(1/√3)/1-(1/√3)2

      = (2/√3)/(1-1/3) = (2/√3)/(2/3) = √3 = tan 60°

      The value of the given equation is equivalent to tan 60°.

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