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  1. If cosq = – 1/2 and θ lies in third quadrant, then what will be the value of sinθ + tanθ
    1. 1
      2

    2. 2
      3
    3. 3
      2
    4. 1
      3
Correct Option: C

Here, cosθ = – 1/2 and θ, lies in third quadrant

Consider ∆ABC,
Using Pythagoras theorem,
AC² = AB² + BC²
2² = (–1)² + BC²
⇒ BC² = 4 – 1
BC² = 3
BC = √3

tanθ + sinθ = –
3
+ -
3
- 12

∵ In third quadrant sinθ is negative and tanθ is positive.
=
=
3
2



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