2
+
Select the correct answer.
Consider this equation.
cos(8) =
if 8 is an angle in quadrant iv, what is the value of tan();
Ο Α.
8
« B.
C.
V17

Question

contestada

Respuesta :

reeserl reeserl · Answer 1 · 2021-05-03T07:30:53+02:00

Answer:

D. -[tex]\sqrt{17}[/tex]/8

Step-by-step explanation:

Draw a right triangle such that cos (theta) = 8/9. That means the hypotenuse = 9 and the adjacent side to theta = 8

Use the Pythagorean theorem to find the opposite side to theta

[tex]\sqrt{9^{2} - 8^{2} } = \sqrt{81 - 64} = \sqrt{17}[/tex]

tan (theta) = [tex]\sqrt{17}[/tex]/8

Since theta is in quadrant IV, the tan is negative. So, tan (theta) = -[tex]\sqrt{17}[/tex]/8

abiolataiwo2015 abiolataiwo2015 · Answer 2 · 2022-04-20T13:51:42+02:00

After considering the equation. Assuming 8 is an angle in quadrant iv, the value of tan(Ф) is:√17/8

Given:

Equation=cos(Ф)=8/9

Using pythagorean theorem formula

H²=P²+B²

Where:

B=8

H=9

Let plug in the formula

P²=9²-8²

P=√81-64

P=√17

Since 8 is an angle in quadrant iv. Hence:

Value of TanФ=√17/8

Inconclusion the value of tan(Ф) is:√17/8

Learn more about value of tan(Ф) here:https://brainly.com/question/12561549