RD Sharma - Mathematics

Book: RD Sharma - Mathematics

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

Subject: - Class 11th

Q. No. 34 of Exercise 7.1

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

34

If α And β are two solutions of the equation Atanx + Bsecx = c, then find the values of sin(α + β).

Given equation Atanx + Bsecx = c


c – Atanx = Bsecx


Squaring onBoth sides,


(c – Atanx)2 = (Bsecx)2


c2 + A2tan2 x – 2actan x =B2sec2 x


c2 +A2 tan2 x – 2ac tan x = B2(1 + tan2 x)


(a2 –B2) tan2 x – 2ac tan x +(c2 –B2) = 0


There are two solutions tan α And tan β in this quadratic.



We know that




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)