RD Sharma - Mathematics

Book: RD Sharma - Mathematics

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

Subject: - Class 11th

Q. No. 31 of Exercise 7.1

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31

If tan α = x + 1, tanβ = x - 1, show that 2 cot(α - β) = x2.

Given tan α = x + 1 And tan β = x – 1


LHS = 2 cot(α – β)


We know that





= x2 = 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)