Question

Someone help pls giving brainlist to anyone

Answer 1

Step-by-step explanation:

If you recall SOH CAH TOA, you know that

cosine ∠T = adjacent / hypotenuse

You can write this with adjacent = OT and hypotenuse = BT.

And you can also write this with adjacent = AT and hypotenuse = CT.

So cosine ∠T = OT/BT = AT/CT.

But this is not exactly what has to be proven. If we multiply left and right by BT/AT we do get what we want:

$\frac{OT}{BT} \cdot \frac{BT}{AT} = \frac{AT}{CT} \cdot \frac{BT}{AT}$

OT/AT = BT/CT

which IS what had to be proven.