Given the terminal point P b. Please evaluate the following. sin(t) cos(t) tan(t) ese(t) sec(t) cot (t) determined by a real number t. Please answer the following. sin(-t) cos(-t) tan(-t) esc(-t) sec(-t) cot(-1)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Given the terminal point \( P \left( \frac{2}{3}, \frac{\sqrt{5}}{3} \right) \) determined by a real number \( t \). Please answer the following.

b. Please evaluate the following.

\[
\begin{align*}
\sin(t) & \quad & \csc(t) & \quad & \sin(-t) & \quad & \csc(-t) \\
\cos(t) & \quad & \sec(t) & \quad & \cos(-t) & \quad & \sec(-t) \\
\tan(t) & \quad & \cot(t) & \quad & \tan(-t) & \quad & \cot(-t) \\
\end{align*}
\]
Transcribed Image Text:Given the terminal point \( P \left( \frac{2}{3}, \frac{\sqrt{5}}{3} \right) \) determined by a real number \( t \). Please answer the following. b. Please evaluate the following. \[ \begin{align*} \sin(t) & \quad & \csc(t) & \quad & \sin(-t) & \quad & \csc(-t) \\ \cos(t) & \quad & \sec(t) & \quad & \cos(-t) & \quad & \sec(-t) \\ \tan(t) & \quad & \cot(t) & \quad & \tan(-t) & \quad & \cot(-t) \\ \end{align*} \]
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