Sea \( f(x)=7 \cos \left(x+\frac{\pi}{2}\right)+3 \). Entonces el mínimo valor que puede alcanzar \( f(x) \) es

Simplify fally: \( \sin \left(90^{\circ}-x\right) \cdot \cos \left(180^{\circ}+x\right)+\tan x \cdot \cos x \cdot \sin \left(x-180^{\circ}\right) \) 5.2 Prove, WrTHOUT using a calculator, that \( \frac{\sin 315^{\circ} \cdot \tan 210^{\circ} \cdot \sin 190^{\circ}}{\cos 100^{\circ} \cdot \sin 120^{\circ}}=\frac{-\sqrt{2}}{3} \)

Convert the angle \( \theta=230^{\circ} \) to radians. Express your answer exactly. \( \theta=\square \) radians

Use a calculator to find \( \tan 15^{\circ} \). Round to the nearest thousandth.

Use a calculator to find \( \tan 27^{\circ} \). Round to the nearest thousandth.

Convert the angle \( \theta=\frac{5 \pi}{12} \) radians to degrees. Express your answer exactly. \( \theta=\square \)