00:01
Okay, so real quick, let's recall the different addition and subtraction formulas.
00:05
So if i'm multiplying sine times cosine and then cosine times sine of the angle, what does this give me? well, this is ultimately the sine addition formula.
00:17
Okay, so if i have sine and cosine multiplied together, but if i have cosine of a times cosine of b plus sine of the angle a matched here times cosine of b or times sine of b, cosine times cosine and sine times sine is actually a cosine formula, but it's not addition, it's backwards for cosine, it's cosine subtraction.
00:40
So i see this matching here in my equation.
00:43
I have cosine of 4 pi over 5 times cosine of 7 pi over 15, right? these angles are the same for the sine values.
00:52
So this will ultimately equal cosine of my first angle, 4 pi over 5, minus 7 pi over 15.
01:00
From this equation since i have the exact same values here times sine of 7 pi over 15.
01:10
Now before i find this, i gotta simplify this.
01:13
I want the same denominator...