Step-by-step explanation:
θ is in quadrant IV, so:
sin θ < 0
cos θ > 0
tan θ = sin θ / cos θ < 0
csc θ = 1 / sin θ < 0
sec θ = 1 / cos θ > 0
Without doing any calculations, we can see only the third option fits (in the second option, sin θ / cos θ = -9/18, not -18/9. In the fourth option, csc θ and sec θ are switched).
Let's go ahead and calculate the values. There are several ways to solve this. One way is to use Pythagorean identities (ex., 1 + cot²θ = csc²θ). Another way is to simply draw a triangle in the fourth quadrant.
cot θ = 1 / tan θ, and tan θ = opposite / adjacent. So cot θ = adjacent / opposite. If we draw a triangle with angle θ, where the adjacent side is 9 and the opposite side is -18, then we can use Pythagorean theorem to find the hypotenuse:
c² = a² + b²
c² = (9)² + (-18)²
c = √405
Therefore:
sin θ = -18 / √405
cos θ = 9 / √405
csc θ = √405 / 18
sec θ = √405 / 9
tan θ = -18/9
Answer:
The answer should be 2
Step-by-step explanation:
16 pi = 1/3 pi r^2 ( 12) Divide both sides by pi
16 = 1/3 r^2 (12) 1/3 * 12 = 4
16 = 4 r^2 divide both sides by 4
4 = r^2 You should be able to take it from here !
Answer:
i would get a jar of nuts its only a little bit more butttt the better buy is 8 ounces for the sake of the math.
Step-by-step explanation:
8 ounces = $4 : $2 an ounce
12 ounces = $5.04 : $2.3 an ounce
Answer:
Below.
Step-by-step explanation:
Horizontal axis-x-axis.
Vertical axis-y-axis
Point of intersection between two axis-origin
The horizontal position of a point- the x coordinate.
The vertical position of a point- the y coordinate.
