RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 7. Values of Trigonometric Functions at Sum of Difference of Angles

Subject: - Class 11th

Q. No. 21 of Exercise 7.1

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If tan(A +B) = And tan(A -B) = y, find the values of tan 2A And tan 2B.

Given tan(A +B) = x And tan(A –B) = y

Consider tan 2A = tan(A +A)

= tan(A +B +A –B)

We know that

Consider tan 2B = tan(B +B)

= tan(B +A +B –A)

We know that tan(-θ) = - tan θ

Chapter Exercises

More Exercise Questions


If SinA = 1/2, cosB = , where π/2<A < π And 0 <B < π/2, find the following:

(i) tan(A +B)(ii) tan(A -B)