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angle theta in standard position and (-4 0) is a point on the terminal side of theta. what is the value of sectheta

Verified Answer :

amelia18

Θ = π
cosΘ = -4/4 = -1
sinΘ = 0/4 = 0
secΘ = 1/cosΘ = -1
cscΘ = 1/sinΘ = 1/0 = undefined
The angle is pie , the secant is -1 and also the cosine is -1..
The consecant it's undefined .

Answer with explanation:

Let, A=Theta

Terminal point of line segment (A)= (-4,0), which lies on Negative side of X axis.

Initial point of line Segment (B)= (0,0)

\(AB=\sqrt{(0+4)^2+(0-0)^2}\\\\AB=\sqrt{4^2}\\\\AB=4\)

Sec A, is negative in second Quadrant.

Point is lying on X axis.

\(\sec A=\sec 180^{\circ}=\sec (180-0^{\circ})=-\sec 0^{\circ}=-1\)

So, Sec(Theta)= -1

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