To solve the given problem, let's follow the step-by-step process:
We are given that [tex]\(\sin(x) = \frac{7}{11}\)[/tex]. We need to find the value of [tex]\(\cos(90^\circ - x)\)[/tex].
1. Understand Relationship between Sine and Cosine:
From trigonometric identities, we know that:
[tex]\[
\cos(90^\circ - x) = \sin(x)
\][/tex]
2. Substitute the Given Value:
We already have [tex]\(\sin(x) = \frac{7}{11}\)[/tex]. Therefore, substituting this into the identity:
[tex]\[
\cos(90^\circ - x) = \sin(x) = \frac{7}{11}
\][/tex]
3. Conclude the Answer:
Thus, the value of [tex]\(\cos(90^\circ - x)\)[/tex] is [tex]\(\frac{7}{11}\)[/tex].
The correct answer is [tex]\( \boxed{\frac{7}{11}} \)[/tex].
Considering the provided options, the best answer is:
B. [tex]\(\frac{7}{11}\)[/tex]
