Asked by minh
if sec theta=-5/4 and 180degree < theta< 270degree, find tan theta
a.-3/5
b 4/5
c.3/4
d.3/5
a.-3/5
b 4/5
c.3/4
d.3/5
Answers
Answered by
MathMate
secθ=-5/4; and θ is in the third quadrant, then
cosθ=1/secθ=-4/5
sinθ=sqrt(1-(-4/5)^2)=-3/5 (third quadrant)
So
tanθ
=sinθ / cosθ
= ?
cosθ=1/secθ=-4/5
sinθ=sqrt(1-(-4/5)^2)=-3/5 (third quadrant)
So
tanθ
=sinθ / cosθ
= ?
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