00:01
So the trick is to recognize what this looks like.
00:03
I have tangent of an angle plus tangent of another angle.
00:06
This looks like either a tangent addition or subtraction formula.
00:09
My two angles are five and 25 degrees.
00:12
Will this be addition or subtraction? well tangent addition or subtraction always follows the same operation as numerator.
00:19
So it'll be addition.
00:20
This is equivalent to tangent of 30 degrees.
00:22
So it's tangent 30.
00:24
We'll recall that tangent of 30 is the same thing as sine of 30 degrees, all over cosine of 30 degrees.
00:31
What is sign of 30 degrees? sign of 30 is 1 half, cosine of 30 is square to 3 over 2.
00:38
When i'm dividing fractions, i multiply by the reciprocal.
00:41
Cancel the 2 is 1 over the square to 3.
00:44
If i were to rationalize the denominator, multiplied by the square to 3 to the top and bottom, 1 times square to 3 is a square to 3.
00:51
Square to 3 times square to 3, square root cancels.
00:54
This is the square to 3 over 3.
00:56
Okay.
00:57
What about solving this equation? well, whenever i solve any equation, my goal is to get x by itself.
01:03
So always do the opposite operation...