Home » Aptitude » Trigonometry » Question
  1. If
    secθ + tanθ
    = 2
    51
    then the value of sin θ is
    secθ - tanθ79
    1. 39
      72
    2. 65
      144
    3. 35
      72
    4. 91
      144
Correct Option: B

sec θ + tan θ
= 2
51
sec θ - tan θ79

158 + 51
=
209
7979

By componendo and dividendo,
sec θ + tan θ + sec θ - tan θ
=
209 + 79
sec θ + tan θ - sec θ + tan θ209 - 79

2 sec θ
=
288
2 tan θ130

sec θ
=
144
tan θ65

∴ sinθ =
tan θ
=
65
sec θ144



Your comments will be displayed only after manual approval.