43. Cevronin uzunluğu \( 6 \sqrt{2} \pi \) sm-dir. \( 60^{\circ}-\mathrm{li} \) morkazi bucağa sőykonon votorin uzunluğunu tapın. \( \begin{array}{lll}\text { A) } 2 \sqrt{3} \mathrm{sm} & \text { B) } 3 \sqrt{2} \mathrm{sm} & \text { C) } 3 \mathrm{sm} \\ \text { D) } 4 \mathrm{sm} & \text { E) } 3 \sqrt{3} \mathrm{sm} & \text { C) }\end{array} \)

\( 10 \sqrt { \cot \theta + 2 \cos \theta } \frac { \csc \theta - \sin \theta } { } = \)

1 a. \( \left(\sec \theta+7(\sec \theta-1)=\tan ^{2} \theta\right. \) b. \( \operatorname{sen} \theta \cdot \cos \theta(\tan \theta+\cot \theta)=1 \)

Which of the following could be found in a table of values for the function \( g(x)=\cos (-1.5 x)-1 ? \) (1 point) \( \left(\frac{2 \pi}{3}, 0\right) \) There is no viable option provided. \( \left(\frac{2 \pi}{3},-1\right) \) \( \left(\frac{2 \pi}{3},-2\right) \)

Evaluate the function \( f(x)=-\sin x \) at \( x=\frac{3 \pi}{2} .(1 \) point) \( \left(\frac{3 \pi}{2}, \square\right) \)

Given that \( \sin \theta=\frac{1}{6} \) and that the terminal side is in quadrant II, complete parts a through c. a) Give an exact answer for the other function values for \( \theta \). \( \cos \theta=-\frac{\sqrt{35}}{6} \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) \( \tan \theta=\frac{\sqrt{35}}{35} \) (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)