Answer :
Certainly! Let's solve the expression step-by-step:
Given:
[tex]\[ y = \frac{2}{\sqrt{3} \sin \theta + \cos \theta} \][/tex]
To find [tex]\( y \)[/tex], we need to evaluate the expression step by step.
1. Identify the components in the denominator:
- The denominator is composed of two parts: [tex]\( \sqrt{3} \sin \theta \)[/tex] and [tex]\( \cos \theta \)[/tex].
2. Combine the components:
- Add the two components together to form the denominator: [tex]\( \sqrt{3} \sin \theta + \cos \theta \)[/tex].
3. Form the entire fraction:
- The expression then becomes [tex]\( y = \frac{2}{\sqrt{3} \sin \theta + \cos \theta} \)[/tex].
Since we need to simplify or manipulate the expression further would depend on additional context or constraints (e.g., specific values of [tex]\( \theta \)[/tex]). However, given that the problem statement suggests this form as the answer, we have:
[tex]\[ y = \frac{2}{\sqrt{3} \sin \theta + \cos \theta} \][/tex]
This expression effectively represents the solution in the given form.
Given:
[tex]\[ y = \frac{2}{\sqrt{3} \sin \theta + \cos \theta} \][/tex]
To find [tex]\( y \)[/tex], we need to evaluate the expression step by step.
1. Identify the components in the denominator:
- The denominator is composed of two parts: [tex]\( \sqrt{3} \sin \theta \)[/tex] and [tex]\( \cos \theta \)[/tex].
2. Combine the components:
- Add the two components together to form the denominator: [tex]\( \sqrt{3} \sin \theta + \cos \theta \)[/tex].
3. Form the entire fraction:
- The expression then becomes [tex]\( y = \frac{2}{\sqrt{3} \sin \theta + \cos \theta} \)[/tex].
Since we need to simplify or manipulate the expression further would depend on additional context or constraints (e.g., specific values of [tex]\( \theta \)[/tex]). However, given that the problem statement suggests this form as the answer, we have:
[tex]\[ y = \frac{2}{\sqrt{3} \sin \theta + \cos \theta} \][/tex]
This expression effectively represents the solution in the given form.
