Sin x = square root (2) / 2
In order for us to get for cos x and tan x, first we need to know what
Hypotenuse, Adjacent, and Opposite sides.
sin x = opposite / hypotenuse.
adjacent = square root (hypotenuse^2 - opposite^2)
adjacent = square root (2^2 - square root(2)^2)
adjacent = square root (4 - 2)
adjacent = square root (2)
cos x = adjacent / hypotenuse
tan x = opposite / adjacent..
cos x = square root (2) / 2
tan x = square root (2) / <span>square root (2) = 1
So, </span>cos x = square root (2) / 2 and tan x<span> = 1</span>
Add these together.
You get -15y=-45
So y=3
Now plug in to first equation.
8x-8(3)=-16
8x-24=-16
8x=8 so x=1
Check both values in second equation.
-8(1)-7(3)=
-8-21=-29
It works...so x=1, y=3
Treat the 'more than or equal to' sign as a '=' then work it out like an ordinary algebraic equation.
2(4x-3) = -3(3x)+5x
8x-6 = -9x+5x
-6 = -9x+5x-8x
-6 = -12x
-6/-12 = x
1/2 = x
Then swap the '=' back for the other sign. This works for all of the '<' type signs
