Isnt there a youtube video with that? Im not sure... But thats where ill look for proof.. :)
Answer:
See Below.
Step-by-step explanation:
We want to prove the trigonometric identity:
To start, let's simplify the right side. Recall the Pythagorean Identity:
Therefore:
Substitute:
Split:
Therefore, our equation becomes:
From the Pythagorean Identity, we can divide both sides by cos²(θ). This yields:
So:
Substitute:
Rewrite:
Recall that tan(θ) = sin(θ)/cos(θ). So:
Simplify:
Simplify:
Hence proven.
3^3 = 3 * 3 * 3 = 27
4^3 = 4 * 4 * 4 = 64
5^3 = 5 * 5 * 5 = 125
6^3 = 6 * 6 * 6 = 216