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

there are no short passages to look at

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.