What is the correct answer of introduction of trigonometry of class 10th ncert ,please help me to solve the exercise 8.2 question 2 (1). Give me the best solution of the question.Choose the correct option and justify your choice : (i) 2tan 30°/1+tan230° = (A) sin 60° (B) cos 60° (C) tan 60° (D) sin 30.
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Choose the correct option and justify your choice : (i) 2tan 30°/1+tan230° = (A) sin 60° (B) cos 60° (C) tan 60° (D) sin 30. Q.2(1)
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(A) is correct.
Substitute the of tan 30° in the given equation
tan 30° = 1/√3
2tan 30°/1+tan230° = 2(1/√3)/1+(1/√3)2
= (2/√3)/(1+1/3) = (2/√3)/(4/3)
= 6/4√3 = √3/2 = sin 60°
The obtained solution is equivalent to the trigonometric ratio sin 60°