A point $P\left(\frac{12}{37},-\frac{35}{37}\right)$ is plotted on the unit circle for a certain angle $\theta$. Determine the values of the trigonometric functions $\sin\theta$, $\cos\theta$, $\tan\theta$, $\cot\theta$, $\sec\theta$, and $\csc\theta$ corresponding to this point.

• A. $\sin\theta=-\frac{35}{37}$, $\cos\theta=\frac{12}{37}$, $\tan\theta=-\frac{35}{12}$, $\cot\theta=-\frac{12}{35}$, $\sec\theta=\frac{37}{12}$, $\csc\theta=-\frac{37}{35}$
• B. $\sin\theta=-\frac{35}{37}$, $\cos\theta=\frac{12}{37}$, $\tan\theta=-\frac{12}{35}$, $\cot\theta=-\frac{35}{12}$, $\sec\theta=\frac{37}{12}$, $\csc\theta=-\frac{37}{35}$
• C. $\sin\theta=\frac{12}{37}$, $\cos\theta=-\frac{35}{37}$, $\tan\theta=-\frac{35}{12}$, $\cot\theta=-\frac{12}{35}$, $\sec\theta=\frac{37}{12}$, $\csc\theta=-\frac{37}{35}$
• D. $\sin\theta=\frac{35}{37}$, $\cos\theta=-\frac{12}{37}$, $\tan\theta=-\frac{35}{12}$, $\cot\theta=-\frac{12}{35}$, $\sec\theta=-\frac{37}{12}$, $\csc\theta=\frac{37}{35}$

Answer: (A)