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Find the quadrant that the angle lies in. Given: sin 0 <0, cos e > 0 Solution: 1. Sin is less than zero (sin 0 < 0) therefore it is negative. Our notes tell us that sin is only negative in the III and IV quadrant (everything is positive in Quadrant I and sine is also positive in Quadrant II). 2. We have now narrowed our answer down to two possible quadrants (III or IV). 3. Cos is positive because it is greater than zero (cos 0 > 0) Our notes tell us that cos is positive in Quadrant I and Quadrant IV. 4. Step one puts our answer in I or II, step three puts our answer in I or IV. The solution has to be Quadrant I because they both share that answer.

Find the quadrant that the angle lies in. Given: sin 0 <0, cos e > 0 Solution: 1. Sin is less than zero (sin 0 < 0) therefore it is negative. Our notes tell us that sin is only negative in the III and IV quadrant (everything is positive in Quadrant I and sine is also positive in Quadrant II). 2. We have now narrowed our answer down to two possible quadrants (III or IV). 3. Cos is positive because it is greater than zero (cos 0 > 0) Our notes tell us that cos is positive in Quadrant I and Quadrant IV. 4. Step one puts our answer in I or II, step three puts our answer in I or IV. The solution has to be Quadrant I because they both share that answer.

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Example Problem 1: Find the quadrant that the angle lies in. Given: sin 0 <0, cos e > 0 Solution: 1. Sin is less than zero (sin 0 <0) therefore it is negative. Our notes tell us that sin is only negative in the II and IV quadrant (everything is positive in Quadrant I and sine is also positive in Quadrant II). 2. We have now narrowed our answer down to two possible quadrants (III or IV). 3. Cos is positive because it is greater than zero (cos 0 > 0) Our notes tell us that cos is positive in Quadrant I and Quadrant IV. 4. Step one puts our answer in I or II, step three puts our answer in I or IV. The solution has to be Quadrant I because they both share that answer. Answer: Quadrant I
Transcribed Image Text:Example Problem 1: Find the quadrant that the angle lies in. Given: sin 0 <0, cos e > 0 Solution: 1. Sin is less than zero (sin 0 <0) therefore it is negative. Our notes tell us that sin is only negative in the II and IV quadrant (everything is positive in Quadrant I and sine is also positive in Quadrant II). 2. We have now narrowed our answer down to two possible quadrants (III or IV). 3. Cos is positive because it is greater than zero (cos 0 > 0) Our notes tell us that cos is positive in Quadrant I and Quadrant IV. 4. Step one puts our answer in I or II, step three puts our answer in I or IV. The solution has to be Quadrant I because they both share that answer. Answer: Quadrant I
Example Problem 2: Find the quadrant that the angle lies in. Given: sin 0 > 0 , tan 0 <0 Solution: 1. Sin is greater than zero (sin 0 > 0) therefore it is positive. Our notes tell us that sin is only positive in quadrant I and II. We have now narrowed our answer down to two possible quadrants (I or II). 2. Tan is negative because it is less than zero (tan 0 < 0) Our notes tel| us that tan is negative in Quadrant Il and Quadrant IV. 3. Step one puts our answer in I or II, step two puts our answer in II or IV. The solution has to be Quadrant II because they both share that answer. Answer: Quadrant II Example Problem 3: Find the quadrant that the angle lies in, Given: cos 0 <0, sin 0 = 3/5 Solution: 4. Cos is less than zero therefore it is negative. Our notes tell us that cos is negative in quadrant II and III. We have now narrowed our answer down to two possible quadrants (II or III). 5. Sin is positive because the ratio is a positive number Our notes tell us that sin is positive in Quadrant I and Quadrant II. 6. Step one puts our answer in II or III, step two puts our answer in I or II. The solution has to be Quadrant II because they both share that answer. Answer: Quadrant II **Assignment: Complete worksheet "Using ASTC to Determine Quadrants and Simplifying Radicals. Due tomorrow!
Transcribed Image Text:Example Problem 2: Find the quadrant that the angle lies in. Given: sin 0 > 0 , tan 0 <0 Solution: 1. Sin is greater than zero (sin 0 > 0) therefore it is positive. Our notes tell us that sin is only positive in quadrant I and II. We have now narrowed our answer down to two possible quadrants (I or II). 2. Tan is negative because it is less than zero (tan 0 < 0) Our notes tel| us that tan is negative in Quadrant Il and Quadrant IV. 3. Step one puts our answer in I or II, step two puts our answer in II or IV. The solution has to be Quadrant II because they both share that answer. Answer: Quadrant II Example Problem 3: Find the quadrant that the angle lies in, Given: cos 0 <0, sin 0 = 3/5 Solution: 4. Cos is less than zero therefore it is negative. Our notes tell us that cos is negative in quadrant II and III. We have now narrowed our answer down to two possible quadrants (II or III). 5. Sin is positive because the ratio is a positive number Our notes tell us that sin is positive in Quadrant I and Quadrant II. 6. Step one puts our answer in II or III, step two puts our answer in I or II. The solution has to be Quadrant II because they both share that answer. Answer: Quadrant II **Assignment: Complete worksheet "Using ASTC to Determine Quadrants and Simplifying Radicals. Due tomorrow!
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