The real number / corresponds to the point P fraction, if necessary. O: 2 0/6 X 2 x + y = 1 Part 1 of 6 sin t = Continue 6,385 S JUN 6 11 on the unit circle. Evaluate the six trigonometric functions of t. Write your answer as a simplified 6 Sub Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Ces NOO O tv MacBook Air
The real number / corresponds to the point P fraction, if necessary. O: 2 0/6 X 2 x + y = 1 Part 1 of 6 sin t = Continue 6,385 S JUN 6 11 on the unit circle. Evaluate the six trigonometric functions of t. Write your answer as a simplified 6 Sub Ⓒ2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Ces NOO O tv MacBook Air
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 67E
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sec t =
cot t =
![### Trigonometric Functions on the Unit Circle
The real number \( t \) corresponds to the point \( P \left( -\frac{5}{6}, \frac{\sqrt{11}}{6} \right) \) on the unit circle. Evaluate the six trigonometric functions of \( t \). Write your answer as a simplified fraction, if necessary.
#### Graph Description
The unit circle is illustrated with its center at the origin \((0,0)\) and radius equal to 1. The circle is defined by the equation \( x^2 + y^2 = 1 \). The point \( P \left( -\frac{5}{6}, \frac{\sqrt{11}}{6} \right) \) is marked on the circle, which lies in the second quadrant where the x-coordinate is negative and the y-coordinate is positive.
#### Required Calculation
Perform the following calculations:
**Part 1 of 6:**
Calculate \(\sin t \)
\[ \sin t = \sqrt{\frac{11}{6}} \ (\frac{\sqrt{11}}{6})\]
Please proceed with the next calculations for the complete evaluation of the trigonometric functions.
### Note:
To submit your answers and verify if they are correct, please use the given user interface.
Continue for more parts...](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd9ae2b74-0627-461f-a855-f05238f3c436%2F35e05212-58cf-434e-a852-e9fb28230dc4%2Fbsg8tyg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Trigonometric Functions on the Unit Circle
The real number \( t \) corresponds to the point \( P \left( -\frac{5}{6}, \frac{\sqrt{11}}{6} \right) \) on the unit circle. Evaluate the six trigonometric functions of \( t \). Write your answer as a simplified fraction, if necessary.
#### Graph Description
The unit circle is illustrated with its center at the origin \((0,0)\) and radius equal to 1. The circle is defined by the equation \( x^2 + y^2 = 1 \). The point \( P \left( -\frac{5}{6}, \frac{\sqrt{11}}{6} \right) \) is marked on the circle, which lies in the second quadrant where the x-coordinate is negative and the y-coordinate is positive.
#### Required Calculation
Perform the following calculations:
**Part 1 of 6:**
Calculate \(\sin t \)
\[ \sin t = \sqrt{\frac{11}{6}} \ (\frac{\sqrt{11}}{6})\]
Please proceed with the next calculations for the complete evaluation of the trigonometric functions.
### Note:
To submit your answers and verify if they are correct, please use the given user interface.
Continue for more parts...
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