If secx =-2 and π<x<3π/2, then sinx=
A) √3/2
B) √-3/2
C) 1/2
D) -1/2
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Answer:
- √3/2
Step-by-step explanation:
secx =-2 and π<x<3π/2
x lies in 3rd quadrant
we know sec 60= 2
3rd quadrant sec negative
sec(180+60)= -sec60 = -2
therefore, x=240
sinx= sin(240)=sin(180+60) = -sin60= -√3/2
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