Gray Peterson
08/07/2024 · Junior High School
Siberi \( \tan \theta=-1.7321 \) Sudut rujukan sepadan, \( =60^{\circ} \) Q
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Diberikan bahawa \( \tan \theta = -1.7321 \). Kita tahu bahawa \( \tan 60^\circ = \sqrt{3} \approx 1.7321 \). Oleh itu, sudut rujukan sepadan dengan \( \tan \theta = 1.7321 \) adalah \( 60^\circ \).
Namun, kerana \( \tan \theta \) adalah negatif, ini menunjukkan bahawa sudut \( \theta \) terletak di kuadran kedua atau keempat.
1. **Kuadran kedua**:
\[
\theta = 180^\circ - 60^\circ = 120^\circ
\]
2. **Kuadran keempat**:
\[
\theta = 360^\circ - 60^\circ = 300^\circ
\]
Oleh itu, sudut \( \theta \) yang memenuhi \( \tan \theta = -1.7321 \) adalah:
- \( \theta = 120^\circ \) (kuadran kedua)
- \( \theta = 300^\circ \) (kuadran keempat)
Jika anda memerlukan maklumat lanjut atau penjelasan tambahan, sila beritahu!
Quick Answer
\( \theta = 120^\circ \) (kuadran kedua) atau \( \theta = 300^\circ \) (kuadran keempat)
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