Find the value of tan 3 A in terms of tan A -tan 2 AA- tan A -tan 2 A -1-tan Atan 2 AB- tan A -tan 2 A -tan A-tan 2 AC- tan A -tan 2 A -1-tan A -tan 2 AD- tan A-tan 2 A -1-tan tan 2 A

The correct option is C We need to find the value of tan3A in terms of tanA amp; tan2A We know, 3A = A + 2A tan3A = tan(A + 2A) tan(A+B) = tanA + tanB/1 + ...

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Standard XI

Mathematics

Conditional Identities

Find the valu...

Question

Find the value of tan 3A in terms of tanA & tan2A

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Solution

The correct option is C

We need to find the value of tan3A in terms of tanA & tan2A

We know, 3A = A + 2A

tan3A = tan(A + 2A)

tan(A+B) = $\frac{t a n A + t a n B}{1 + t a n A . t a n B}$

tan3A = $\frac{t a n 2 A + t a n A}{1 - t a n A . t a n 2 A}$

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Find the value of tan 3A in terms of tanA & tan2A

The correct option is C We need to find the value of tan3A in terms of tanA & tan2A We know, 3A = A + 2A tan3A = tan(A + 2A) tan(A+B) = tanA+tanB1+tanA.tanB tan3A = tan2A+tanA1−tanA.tan2A

The correct option is C

We need to find the value of tan3A in terms of tanA & tan2A

We know, 3A = A + 2A

tan3A = tan(A + 2A)

tan(A+B) = $\frac{t a n A + t a n B}{1 + t a n A . t a n B}$

tan3A = $\frac{t a n 2 A + t a n A}{1 - t a n A . t a n 2 A}$