We are given
Angles α and β are angles in standard position
and
α terminates in Quadrant II
β terminates in Quadrant I
and we have

we can use triangle and find cos(α)
we get

and we have

we can draw triangle

now, we can use formula

now, we can plug values

now, we can simplify it




...............Answer
Hey there!!
How do we find inverses?
In versing is the just the flip-flop of the x and y.
Given equation :
...f(x) = √(2x-6)
... y = √(2x-6)
... x = √(2y-6)
Square on both sides
... x² = 2y-6
... x² + 6 = 2y
... x² + 6 / 2 = y
Inverse :
f(x) = ( x² + 6 ) / 2
( ii ) f(x) = ( x - 2 )³ + 8
... y = ( x - 2 )³ + 8
... x = ( y - 2 )³ + 8
... x - 8 = ( y - 2 )³
... cube root on both sides
... ∛( x - 8 ) = y - 2
... ∛(x - 8 ) + 2 = y
Inverse :
f(x) = ∛( x - 8 ) + 2
Hope my answer helps!!
Yes they are both like terms so if they are in the same equation you can just add them together.
7 x 14 = 98, 100 - 98 = 2.
She gives 14 cubes to each group, and there are 2 cubes leftover.
Hope this helps!