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Hey all, hope you could help me, would be very gratefull if you could.
Show that sin(x) + cos(x) = √2sin(x + π/4)
sin(x+z) = sin(x)cos(z)+sin(z)cos(x)
Ive been doing some of these trig identity problems without an issue, but i get stuck when it comes to this one.
I get as far as sin(x)cos(45) + cos(x)sin(45)
i have realized that cos(45) and sin(45) when added together happen to = √2 but i can't seem to find the next step :-(
Any help grealy appreciated.
Homework Statement
Show that sin(x) + cos(x) = √2sin(x + π/4)
Homework Equations
sin(x+z) = sin(x)cos(z)+sin(z)cos(x)
The Attempt at a Solution
Ive been doing some of these trig identity problems without an issue, but i get stuck when it comes to this one.
I get as far as sin(x)cos(45) + cos(x)sin(45)
i have realized that cos(45) and sin(45) when added together happen to = √2 but i can't seem to find the next step :-(
Any help grealy appreciated.