RD Sharma - Mathematics

Book: RD Sharma - Mathematics

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

Subject: - Class 10th

Q. No. 23 of Exercise 7.1

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23

If tanA + tanB =A And CotA + CotB =B, prove that: cot(A +B) = 1/a – 1/b.

Given tanA + tanB =A And cotA + cotB =B


Consider cotA + cotB =B




Then,


RHS





We know that


= cot(A +B) = LHS


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)