1.

State the quadrant in which 6 lies if i. sin θ < 0 and tan θ > 0 ii. cos θ < 0 and tan θ > 0

Answer»

i. sin θ < 0 sin θ is negative in 3rd and 4th quadrants, tan 0 > 0 

tan θ is positive in 1st and 3rd quadrants. 

∴ θ lies in the 3rd quadrant.

ii. cos θ < 0 cos θ is negative in 2nd and 3rd quadrants, tan 0 > 0 

tan θ is positive in 1st and 3rd quadrants. 

∴ θ lies in the 3rd quadrant.



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