question 6 (1 point)\nthe point (-3,4) is on the terminal arm of ∠a.which is the correct value of sec a?\n◯…

question 6 (1 point)\nthe point (-3,4) is on the terminal arm of ∠a.which is the correct value of sec a?\n◯ a) 5/4\n◯ b) -3/5\n◯ c) 4/5\n◯ d) -5/3

question 6 (1 point)\nthe point (-3,4) is on the terminal arm of ∠a.which is the correct value of sec a?\n◯ a) 5/4\n◯ b) -3/5\n◯ c) 4/5\n◯ d) -5/3

Answer

Explanation:

Step1: Calculate the radius ( r )

For a point ((x,y)) on the terminal arm of an angle, ( r=\sqrt{x^{2}+y^{2}} ). Given ( x = - 3,y = 4 ), then ( r=\sqrt{(-3)^{2}+4^{2}}=\sqrt{9 + 16}=\sqrt{25}=5 ).

Step2: Recall the definition of secant

The definition of ( \sec A=\frac{r}{x} ). Substitute ( r = 5,x=-3 ) into the formula, we get ( \sec A=\frac{5}{-3}=-\frac{5}{3} ).

Answer:

d) (-\frac{5}{3})