RD Sharma - Mathematics

Book: RD Sharma - Mathematics

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

Subject: - Class 11th

Q. No. 20 of Exercise 7.1

Listen NCERT Audio Books - Kitabein Ab Bolengi

20

If tanA = tanB, prove that .

Given tanA = x tanB


LHS


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



Dividing numerator And denominator by cosA cosB,






= RHS


Hence, proved.


20

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)