Answer :

**Given:** , x lies in 3^{rd} quadrant**Sign Convention:** For knowing the sign of Identities we will take the Graph Shown below which shows in which Quadrant which Trigonometric Ratio is Positive.**We know the identity:**

**sin ^{2 }x + cos ^{2 }x = 1**

(∵ x lies in 3^{rd} quadrant)

Now,

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