To solve this equation, we need to isolate the variable x. Here's how to do it step by step:
Start by distributing the cosine function: 2 cos(π/4 - 3x) = √2
Divide both sides by 2: cos(π/4 - 3x) = √2 / 2
Take the inverse cosine of both sides to isolate x: π/4 - 3x = cos^(-1)(√2 / 2)
Substitute the value of cos^(-1)(√2 / 2) into the equation: π/4 - 3x = π/4
Now, solve for x: -3x = 0
Divide by -3 to isolate x: x = 0
Therefore, the solution to the equation 2 cos(π/4 - 3x) = √2 is x = 0.
To solve this equation, we need to isolate the variable x. Here's how to do it step by step:
Start by distributing the cosine function: 2 cos(π/4 - 3x) = √2
Divide both sides by 2: cos(π/4 - 3x) = √2 / 2
Take the inverse cosine of both sides to isolate x: π/4 - 3x = cos^(-1)(√2 / 2)
Substitute the value of cos^(-1)(√2 / 2) into the equation: π/4 - 3x = π/4
Now, solve for x: -3x = 0
Divide by -3 to isolate x: x = 0
Therefore, the solution to the equation 2 cos(π/4 - 3x) = √2 is x = 0.