How do you determine a sine or cosine equation given a graph? If you could give examples that would otherwise be hard, that would be appreciated. I am able to grasp equations from graphs like y = sin(x) and y = 2sin(x) but I am not so sure how to gather the equations like y = 3sin(x/2 + pi/4) + 3 from a graph. Thank you so much in advance. I am in college trigonometry as a rising high school senior and with everything online, this is just one of the topics I do not understand from videos and PowerPoint lectures.

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

unless if u could do my questions, if not i wouldn't want to

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)