Find the values of the six trigonometric functions for angle theta in standard position if a point with the coordinates (-4, -3) lies on its terminal side

The negative coordinates -4 and -3 tell us that the terminal side of this angle theta lies in Quadrant III.  The hypotenuse is   sqrt( [-4]^2 + [-5]^2 ), or +5.

Then:

sin theta = opp / hyp = -3/5

cos theta = adj / hyp  = -4/5

tan theta = opp / adj = (-3) / (-4) = 3/4

cot theta = adj / opp = 4/3

sec theta = hyp / adj = -5/4

csc theta = hyp / opp = -5/3

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

b

step-by-step explanation:

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