If tan 0= -(3)/(8), which expression is equivalent to cot 0 ? a) 1/- 3/8 b)-3/8 +1 c) rad\sqrt(1+)/(3))^(2)) )/(8))^(2)+1

As we know

tan A =

As given , tan 0 =

So, Cot A is inverse of Tan A.

So, the value of Cot 0 =

Option (a) is true.

a)

Step-by-step explanation:

We know that:

   tanA=

or cotA=  

given tan0=-3/8

put A=0

cot0=

      =

Hence,  correct option is:

a)  

the required function is .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

where, m is slope and b is y-intercept.

therefore the required function is . the graph of this function is shown below.

thus, the first answer choice, y = sec x, is the correct one