Adv
Rajan@2021
  • 0
Guru

If tanθ=4/3, show that (sinθ+cosθ)=7/5

  • 0

This is the basic and conceptual question from trigonometric ratios in which we have given that if tanθ=4/3, we have been asked to show that (sinθ+cosθ)=7/5.

RS Aggarwal, Class 10, Chapter 10, question no 18.

Share

1 Answer

  1. Given,
    tanθ=4/3.
    cotθ=1/(4/3)=3/4
    [ Since, 1/tanθ=cotθ ]

    We know that,
    tanθ= opposite side to theta / adjacent side to theta.

    So, opposite side =4 , Adjacent side =3

    Hypotenuse = (+)=5

    Now,
    sinθ= Opposite side to theta / Hypotenuse =4/5

    cosθ= Adjacent side to theta / Hypotenuse =3/5

    To prove : sinθ+cosθ=7/5.

    L. H.S

    =sinθ+cosθ

    =4/5+3/5

    =7/5

    = R. H. S

    Hence proved!

    • 0
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.

Related Questions