Wave-function

[foggy field]

Find the maximum value of 5 + 2sin(x+30) and the corresponding x value

normally i would know how to do this but the addition of 5 is messing me up a little, would i minus the 5 from both sides? doing so would leave a solution that isnt possible in that graph

[oak mango]

ignore the 5 for now

what's the max value of sin(x+30)

[foggy field]

2

[oak mango]

thats the max of 2sin(x+30) but yeah

now the 5 is just pushing the graph up by 5 units

so the max value is 7

[foggy field]

ik but i dont know how to solve it mathematically like on paper

idk how to explain it very well

[oak mango]

there isnt rly any working

i mean you can draw the graph if you want, but thats a waste of time

you can just write the max value down

[foggy field]

the co ordinate would be 7, 60 right?

i mean 60, 7

[oak mango]

oh

i didnt see the 2nd part of ur q

mb

[foggy field]

nw

[oak mango]

so yeah the max occurs at 7 and you wanna find the value of x so that if you sub it back into 5 + 2sin(x+30), you get 7

7 = 5 + 2sin(x+30)

[foggy field]

oh right

i was equating 5 + 2sin(x+30) to 2

maybe thats what was messing me up

[oak mango]

yeah

[foggy field]

thanks