To solve the equation ctg(π/4 - x) = 1, we can rewrite it in terms of cotangent:
cot(π/4 - x) = 1
Next, we know that cotangent is the reciprocal of tangent, so we can rewrite the equation in terms of tangent:
tan(π/4 - x) = 1
Now, we can use the trigonometric identity tan(π/4 - x) = tan(π/4 + x) to simplify the equation:
tan(π/4 + x) = 1
Since tan(π/4) = 1, we can rewrite the equation as:
tan(x) = 1
This means that the angle x is equal to π/4, or 45 degrees.
To solve the equation ctg(π/4 - x) = 1, we can rewrite it in terms of cotangent:
cot(π/4 - x) = 1
Next, we know that cotangent is the reciprocal of tangent, so we can rewrite the equation in terms of tangent:
tan(π/4 - x) = 1
Now, we can use the trigonometric identity tan(π/4 - x) = tan(π/4 + x) to simplify the equation:
tan(π/4 + x) = 1
Since tan(π/4) = 1, we can rewrite the equation as:
tan(x) = 1
This means that the angle x is equal to π/4, or 45 degrees.