Question

An angle in standard position has a terminal side that passes through (-1, -1). Choose all of the functions that will be negative for the angle.

sin
cos
tan
sec
csc
cot

Answer 1

sin, cos, sec, csc

Explanation:

If the terminal side passes through (-1, -1), the angle θ = 225° and is in the third quadrant.

sinθ = opp/hyp = -/+ = -

cosθ = adj/hyp = -/+ = -

tanθ = opp/adj = -/- = +

cotθ = adj/opp = -/- = +

secθ = 1/cosθ = -

cscθ = 1/sinθ = -

The functions that will be negative for the angle are sin, cos, sec, and csc.