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The value of tan 3A – tan 2A – tan A is
- a)tan 3A . tan 2A . tan A
- b)- tan 3A . tan 2A . tan A
- c)tan A . tan 2A – tan 2A . tan 3A – tan 3A . tan A
- d)None of these
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
The value of tan 3A – tan 2A – tan A isa)tan 3A . tan 2A ....
3A= A+ 2A
⇒ tan 3A = tan (A + 2A)
⇒ tan 3A = (tan A + tan 2A) / (1 – tan A . tan 2A)
⇒ tan A + tan 2A = tan 3A – tan 3A x tan 2A . tan A
⇒ tan 3 A – tan 2A – tan A = tan 3A . tan 2A . tan A
⇒ tan 3A = tan (A + 2A)
⇒ tan 3A = (tan A + tan 2A) / (1 – tan A . tan 2A)
⇒ tan A + tan 2A = tan 3A – tan 3A x tan 2A . tan A
⇒ tan 3 A – tan 2A – tan A = tan 3A . tan 2A . tan A
Most Upvoted Answer
The value of tan 3A – tan 2A – tan A isa)tan 3A . tan 2A ....
The correct answer is c option . first we calculate the formula of tan 3A and put the formula of tan 3Athen we have put the formulas in the equation that is given the question and then we solve it and then we get the correct option c.
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The value of tan 3A – tan 2A – tan A isa)tan 3A . tan 2A ....
The value of tan 3A cannot be determined without knowing the value of A. The tangent function is dependent on the angle provided.
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The value of tan 3A – tan 2A – tan A isa)tan 3A . tan 2A . tan Ab)-tan 3A . tan 2A . tan Ac)tan A . tan 2A – tan 2A . tan 3A – tan 3A . tan Ad)None of theseCorrect answer is option 'A'. Can you explain this answer?
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