Use the fundamental identities to verify

see below

Step-by-step explanation:

6 cot ^2 (y) ( sec^2 (y) -1) = 6

We know that ( sec^2 (y) -1) = tan ^2(y)

6 cot ^2 (y) tan ^2 (y) = 6

We know cot = cos/ sin   and tan = sin / cos

6 cos/ sin ^2 (y) sin/cos ^2 (y) = 6

6 ( 1) = 6

6=6

See below

Step-by-step explanation:

Hope this helps!

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)

the first option is the answer.