the terminal point p(x,y) determined by a real number t is tiven. find sin (t), cos(t), and tan(t). terminal point is: (-1/3, 2sqrt(2)/3)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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the terminal point p(x,y) determined by a real number t is tiven. find sin (t), cos(t), and tan(t). terminal point is: (-1/3, 2sqrt(2)/3)
The image displays a mathematical expression in the form of an ordered pair. The expression is:

\[
\left( -\frac{1}{3}, \frac{2\sqrt{2}}{3} \right)
\]

This represents a point in a coordinate plane, where the first component, \(-\frac{1}{3}\), is the x-coordinate, and the second component, \(\frac{2\sqrt{2}}{3}\), is the y-coordinate. The value \(\sqrt{2}\) indicates the square root of 2, which is an irrational number approximately equal to 1.414. 

This point could be part of a lesson on coordinate geometry, where such expressions are used to define specific points in a two-dimensional space.
Transcribed Image Text:The image displays a mathematical expression in the form of an ordered pair. The expression is: \[ \left( -\frac{1}{3}, \frac{2\sqrt{2}}{3} \right) \] This represents a point in a coordinate plane, where the first component, \(-\frac{1}{3}\), is the x-coordinate, and the second component, \(\frac{2\sqrt{2}}{3}\), is the y-coordinate. The value \(\sqrt{2}\) indicates the square root of 2, which is an irrational number approximately equal to 1.414. This point could be part of a lesson on coordinate geometry, where such expressions are used to define specific points in a two-dimensional space.
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