Question

find sinx and tanx if cosx=-12/13and x lies in the third quadrant
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Answer 1

Step-by-step explanation:

cosx=-12/13=Adjacent side/Hypotenuse

Therefore Adjacent side=12

Hypotenuse=13

Opposite side=5 (Hyp²=Side²+Side²)

Note:Here minus is negligible as measurements can't be negative and negative sign comes as cos is negative in Q3.

sinx=Opp/Hyp=-5/13 (x is in Q3 so negative sign for sin)

tanx=Opp/Adj=5/12 (x is in Q3 so positive sign for tan)