Question

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If tan theta = 3 and theta lies in the third quadr
ant, then value of sine theta is

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Answer 1

the value of sin theta=3 because tan theta is directly proportional to sin theta

Answer 2

Step-by-step explanation:

tantheta=3 =3/1=opp/adj

hyp=root(opp^2+adj^2)=root(3^2+1^2)=root(10)

given theta lies in 3rd quadrant

sin negative in 3rd quadrant

sintheta= -opp/hyp= -3/root(10)