Spencer Griffiths
06/01/2024 · Junior High School
Given \( \sin \theta=\frac{1}{3} \), what is \( \csc \theta \) ? fill in blank
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find \( \csc \theta \), we use the relationship between sine and cosecant. The cosecant function is the reciprocal of the sine function:
\[
\csc \theta = \frac{1}{\sin \theta}
\]
Given that \( \sin \theta = \frac{1}{3} \), we can substitute this value into the equation:
\[
\csc \theta = \frac{1}{\frac{1}{3}} = 3
\]
Thus, the value of \( \csc \theta \) is
\[
\boxed{3}
\]
Quick Answer
\( \csc \theta = 3 \)
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit