Solve for all degree solutions and 0 if 0° se< 360°. Do not use calculator. (Enter your answers as a comma-separated list.) V2 tan 8 + 2 sin 0 tan 8 = 0 (a) all degree solutions (Let k be any integer.) e = 180° + 360°k, 225° + 360°k, 315° + 360°k e = 360°k, 45° + 360°k, 45° + 180°k e = 0° + 180°k, 45° + 360°k, 45° + 180°k e = 360°k, 225° + 360°k, 315° + 360°k e = 0° + 180°k, 225° + 360°k, 315° + 360°k (b) e if 0° sO< 360° 180°,225°,315°
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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![## Solving Trigonometric Equations
### Problem Statement:
Solve for all degree solutions and θ if 0° ≤ θ < 360°. Do not use a calculator. (Enter your answers as a comma-separated list.)
\[ \sqrt{2} \tan \theta + 2 \sin \theta \tan \theta = 0 \]
### Solution:
#### (a) All Degree Solutions
Let \( k \) be any integer. The solutions are given in terms of \( k \):
1. \( \theta = 180^\circ + 360^\circ k, 225^\circ + 360^\circ k, 315^\circ + 360^\circ k \)
This option is selected as the correct solution.
2. \( \theta = 360^\circ k, 450^\circ + 360^\circ k, 45^\circ + 180^\circ k \)
3. \( \theta = 0^\circ + 180^\circ k, 450^\circ + 360^\circ k, 450^\circ + 180^\circ k \)
4. \( \theta = 360^\circ k, 225^\circ + 360^\circ k, 315^\circ + 360^\circ k \)
5. \( \theta = 0^\circ + 180^\circ k, 225^\circ + 360^\circ k, 315^\circ + 360^\circ k \)
The selected solution is noted with a blue circle (indicating the correct answer) and a red X mark outside the selection box.
#### (b) Principal Solutions (0° ≤ θ < 360°)
For this specific interval, the solution is:
\[ \theta = 180^\circ, 225^\circ, 315^\circ \]
The answer is mentioned in a box and marked with a red X, indicating that there might be an error.
### Notes:
- Ensure to verify the solution by solving the trigonometric equation manually to understand why the provided answers have been marked correct or incorrect.
- The multiple-choice format helps in identifying the general solutions explicitly while the boxed values target a specific interval requirement for \( θ \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc44384e8-029a-411b-b44b-990aab7ef4f9%2Fbbf7fd56-e930-490e-a7e8-4e8af9246e71%2Fprfe5w.png&w=3840&q=75)
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