This is one pathway to prove the identity.
Part 1

Part 2

Part 3

As the steps above show, the goal is to get both sides be the same identical expression. You should only work with one side to transform it into the other. In this case, the left side transforms while the right side stays fixed the entire time. The general rule is that you should convert the more complicated expression into a simpler form.
We use other previously established or proven trig identities to work through the steps. For example, I used the pythagorean identity
in the second to last step. I broke the steps into three parts to hopefully make it more manageable.
Answer:
Step-by-step explanation:
y=mx+b
your m is the slope and your b is the y-intercept
so for y=5x-3 your slope would be 5 and your y-intercept would be -3
The answer questions to your question is 86
Answer:
k = - 5/√3 = - (5√3)/3
Step-by-step explanation:
5x + ky = 20
y = (- 5/k) * x + (20/k)
Line equation: y = mx + b m: slope m = - 5/k
60° with x-axis (suppose it's positive x axis): slope m = tan 60° = √3
- 5/k = √3
k = - 5/√3 = - (5√3)/3