Loading Web-Font TeX/Main/Regular

Special welcome gift. Get 30% off your first purchase with code “Eduma”. Find out more!

Question

 If 3 sin θ + 5 cos θ = 5, then what is the value of 5 sin θ – 3 cos θ equal to ?

  1. 5
  2. -3
  3. -2
  4. 0
Answer

Given, 3 sin θ + 5 cos θ = 5   –i)

Let,     5 sin θ – 3 cos θ =x     –ii) 

Squaring and adding (i) and (ii) we get,

=>34(sin^2θ+cos^2θ)=25+x^2

=> 34=25+x^2

=> x = ±3,

Hence from the option we get -3

Answer – (B)

Share:

Advertisment

You May Also Like