1 .\( \frac{\sin 210^{\circ} \cos 300^{\circ} \tan 240^{\circ}}{\cos 120^{\circ} \tan 150^{\circ} \sin 330^{\circ}} \) \( \left..3 \sin (-\theta)+\cos (360-0)] \left\lvert\, \cos (90-0)+\frac{\sin \theta}{\tan \theta}\right.\right] \) If \( \tan x=m+\frac{1}{m}, 90^{\circ} \leq x \leq 270^{\circ} \) and \( m^{2}+\frac{1}{m^{2}}=1 \) Calculate the value of \( x \) without the use of a calculato

Six Trigonometric Functions on the Unit Circle Find all six trig functions for the following radians on the unit circle. \( \begin{array}{ll}\text { 19. } t=\pi & \text { 20. } t=\frac{4 \pi}{3}\end{array} \)

Reference Angles Determine the reference angles for the following degrees and radians. Remember if it starts as a negative degree or radian, you have to find the positive coterminal first. \( \begin{array}{ll}\text { 9. } 175^{\circ} & \text { 10. }-410^{\circ} \\ \text { 11. } \frac{5 \pi}{8} & \text { 12. }-\frac{7 \pi}{3}\end{array} \)

\( \begin{array}{ll}\text { (i) } \sin \theta=\square & \text { (ii) } \cos (90-\theta)=\square \\ \text { (iii) } \tan (90-\theta)=\square & \text { (iv) } \tan \theta=\square\end{array} \)

4 Find 2 coterminal angles for each: \( 115^{\circ} \quad \frac{17 \pi}{12} \)

Em um triângulo retângulo, se um dos ângulos agudos mede 30 graus e a hipotenusa mede 12 cm, calcule a medida do cateto oposto a esse ângulo usando o Teorema de Pitágoras.