In a right triangle, if tan x = 1/2 then what is cos x

               2√5

cos x =

                   5

Step-by-step explanation:

If tan x = 1/2 then what is cos x?  

Recall that tan x is defined as the quotient sin x / cos x, so that in this case sin x / cos x = 1 / 2 = opp side / adjacent side.  Also, recall that cos x = adj side / hypotenuse.

To determine cos x, we need to find the length of the hypotenuse.  That, in turn, through use of the Pythagorean Theorem, is √(1^2+2^2), or √5.

Then cos x = adj side / hyp = 2/√5.  Rationalizing the denominator, we get

               2√5

cos x =

                   5

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c