(-2,7) a point on the terminal side of angle θ. Find cosθ, secθ, and tanθ.

Answer 1

With the terminal side of (-2,7), this angle is in the second quadrant. The opposite side is 7, the adjacent side is -2. Using the Pythagorean theorem, we can find the hypotenuse and then find the trig functions from there.

a²+b²=c² plug in values

(-2)²+(7)²=c² Simplify

4+49=c² add

53=c² Take the square root of both sides

c=√53

Now, SOH CAH TOA

cos x = -2/√53

sec x = -√53/2

tan x = -7/2