RD Sharma - Mathematics

Book: RD Sharma - Mathematics

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

Subject: - Class 11th

Q. No. 16 of Exercise 7.1

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16

Prove that:

LHS


We know that sin(A –B) = sinA cosB – cosA sinB




= tanA – tanB + tanB – tan C + tan C – tanA


= 0 = RHS


Hence proved.


Chapter Exercises

More Exercise Questions

6

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)