MathematicsIf 4tanθ=3,   then which of the following is the value of the expression 4sinθ−cosθ 4sinθ+cosθ  ?

If 4tanθ=3,   then which of the following is the value of the expression 4sinθcosθ 4sinθ+cosθ  ?


  1. A
    2 3  
  2. B
    1 3  
  3. C
    1 2  
  4. D
    3 4   

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    The given trigonometric ratio is,
    4tanθ=3  
    The given expression is,
    4sinθcosθ 4sinθ+cosθ   4sinθcosθ 4sinθ+cosθ = 4 sinθ cosθ cosθ cosθ 4 sinθ cosθ + cosθ cosθ  
    4sinθcosθ 4sinθ+cosθ = 4tanθ1 4tanθ+1 4sinθcosθ 4sinθ+cosθ = 31 3+1               4tanθ=3 4sinθcosθ 4sinθ+cosθ = 1 2  
    Therefore, the value of the expression 4sinθcosθ 4sinθ+cosθ = 1 2 .   Hence, option (3) is correct.
     
    Chat on WhatsApp Call Infinity Learn

      Talk to our academic expert!



      +91


      Live ClassesBooksTest SeriesSelf Learning




      Verify OTP Code (required)

      I agree to the terms and conditions and privacy policy.