Question

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

Answer 1

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 2

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=√((0+4)^2+(0-0)^2)\\\\AB=√(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