I would note that ##\frac {\sqrt 2} 2 = \frac 1 {\sqrt 2}## and multiply both sides by ##\sqrt 2##.Veronica_Oles said:Homework Statement
Solve sin (x + pi/4) = √2 cos x
Homework Equations
The Attempt at a Solution
sinx*cos(pi/4) + cosx*sin(pi/4) = √2 cos x
√2/2 sinx + √2/2 cosx = √2 cos x
not sure if I am on the right track? or where would I go from here? would I bring √2 cos x to the left side?
LCKurtz said:I would note that ##\frac {\sqrt 2} 2 = \frac 1 {\sqrt 2}## and multiply both sides by ##\sqrt 2##.
Show us what you get when you simplify it. Telling us it didn't work doesn't help us help you when we don't know what you did.Veronica_Oles said:Did that now I'm left with (sinx + cosx) = 2cosx, I'm stuck now? Tried bringing to other side and does not work and tried cancelling out the cosx but that does not work.
LCKurtz said:Show us what you get when you simplify it. Telling us it didn't work doesn't help us help you when we don't know what you did.
A linear trig equation is an equation that involves both trigonometric functions (such as sine, cosine, and tangent) and a linear variable (such as x or y).
To solve a linear trig equation, you need to use algebraic techniques to isolate the trigonometric function on one side of the equation and the linear variable on the other side. Then, use the inverse trigonometric functions to solve for the variable.
The most common methods used to solve linear trig equations are substitution, factoring, and using trigonometric identities.
Yes, there are a few special cases to consider when solving linear trig equations. These include equations with multiple angles, equations with restricted domains, and equations with complex numbers.
Linear trig equations are commonly used in fields such as physics, engineering, and navigation. They can be used to model and solve problems involving angles, distances, and other geometric relationships.