Verify the identity.
negative tangent t minus StartFraction cosine t Over sine t minus 1 EndFraction equals secant t

see explanation

Step-by-step explanation:

Using the trigonometric identities

tan x = , sin² x + cos²x = 1, sec x =

Consider the left side

- tant -

= - -

= -

=

=

= ← cancel (sint - 1) on numerator/ denominator

=

= sect = right side ⇒ verified

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)