How do you do this - with work - using pythagorean identities?

see explanation

Step-by-step explanation:

Using the trigonometric identities

• 1 + tan²x = sec²x

• cot x =

Given

secΘ = , then

tan²Θ = sec²Θ - 1 = ( )² - 1 = - 1 = , hence

tanΘ = ± = ±

Since 270° < Θ < 360° ← fourth quadrant where tanΘ < 0

Hence tanΘ = -

and

cotΘ = = - = -

uhhh idk u yolo?