Advertisements
Advertisements
Question
Prove the following:
`(sin3x)/cosx + (cos3x)/sinx` = 2 cot 2x
Sum
Advertisements
Solution
L.H.S. = `(sin3x)/cosx + (cos3x)/sinx`
= `(sin3x*sinx + cos3x*cosx)/(sinx*cosx)`
= `(cos(3x - x))/(sinx*cosx)`
= `(2cos2x)/(2sinx*cosx)`
= `(2cos2x)/(sin2x)`
= 2 cot 2x
= R.H.S.
shaalaa.com
Is there an error in this question or solution?
Chapter 3: Trigonometry - 2 - Exercise 3.3 [Page 48]
