Consider ∠C such that sin C = 7/25

a) What are the possible quadrants in which ∠C may lie?

b) If you know that cos C is negative, how does your answer to part a) change?

c) Sketch a diagram to represent ∠C in standard position, given that the condition in part b) is true.

d) Find coordinates of a point P on the terminal arm of ∠C.

e) Write exact expressions for the other two primary trigonometric ratios for ∠C.

1 answer

a) sin is + in I and II

b) cos is - in II so there only

c) hard to sketch here from origin up 7 distance 25
x^2 + 7^2 =625 and x is -
x^2 = 625 - 49 = 576
x = -24
so point is at (-24,7)

cos C = -24/25
tan C = -7/24