Sure, let's work through this step-by-step!
We are given the trigonometric expression:
[tex]\[ x = \frac{a}{\tan(b)} \][/tex]
We need to find the values of [tex]\(a\)[/tex] and [tex]\(b\)[/tex] and replace them in the expression. According to the data provided:
1. [tex]\( a = 1 \)[/tex]
2. [tex]\( b = 45° \)[/tex] (since the angle is in degrees, it's important to use the degree measure here)
Now, substitute [tex]\( a \)[/tex] and [tex]\( b \)[/tex] into the expression:
[tex]\[ x = \frac{1}{\tan(45°)} \][/tex]
Next, recall that the tangent of 45 degrees is 1:
[tex]\[ \tan(45°) = 1 \][/tex]
So, the expression simplifies to:
[tex]\[ x = \frac{1}{1} \][/tex]
Hence:
[tex]\[ x = 1 \][/tex]
However, given the precision might introduce slight numerical inaccuracies in practical computation, the final value we reported is:
[tex]\[ x \approx 1.0000000000000002\][/tex]
Thus, the trigonometric expression used is:
[tex]\[ x = \frac{1}{\tan(45°)} \][/tex]
And the final value of [tex]\( x \)[/tex] is approximately:
[tex]\[ x \approx 1.0000000000000002\][/tex]
