Curious problem

Geometry Level 5

consider the graph of the solutions to:

sin ⁡ ( x + y ) = sin ⁡ ( x − y ) \sin{(x+y)}=\sin{(x-y)} and cos ⁡ ( x + y ) = cos ⁡ ( x − y ) \cos{(x+y)}=\cos{(x-y)} .

What is true about the graph of the first equation compared to the second one?

(4)it's a translation π \pi units to the right of the second one (6)it's a translation π 2 \frac{\pi}{2} to the left (7)it's a translation π \pi units up (5)it's a translation π 2 \frac{\pi}{2} to the right (1)they are neither translation nor a reflection (8)not enough information (3) both (5) and (6) (2)it's a reflection of the second one

Hamza A by Hamza A , 19, USA

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