1) Evaluate: \(\cos135^{\circ}\sec240^{\circ}-\sin270^{\circ}\cot210^{\circ}\).
2) Evaluate: \(\large\csc\frac{4\pi}{3}\sin\frac{7\pi}{6}-\cos\frac{7\pi}{6}\cot\frac{4\pi}{3}\).
3) Evaluate: \(\large\sin^2\left(-\frac{15\pi}{4}\right)+\sec\frac{10\pi}{3}\).
4) Evaluate: \(\large\csc\frac{27\pi}{6}+2\cot\left(-\frac{13\pi}{3}\right)\).
5) Draw the triangle and reference angle given \(\large \cos\theta=-\frac{7}{13},\ \pi\le\theta\le\frac{3\pi}{2}\). Then, find the exact value for the remaining trig functions.
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2) Evaluate: \(\large\csc\frac{4\pi}{3}\sin\frac{7\pi}{6}-\cos\frac{7\pi}{6}\cot\frac{4\pi}{3}\).
3) Evaluate: \(\large\sin^2\left(-\frac{15\pi}{4}\right)+\sec\frac{10\pi}{3}\).
4) Evaluate: \(\large\csc\frac{27\pi}{6}+2\cot\left(-\frac{13\pi}{3}\right)\).
5) Draw the triangle and reference angle given \(\large \cos\theta=-\frac{7}{13},\ \pi\le\theta\le\frac{3\pi}{2}\). Then, find the exact value for the remaining trig functions.
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