Lucas claims that \( \sin 0.5^{\circ} \approx 0.5 \). Explain why Lucas's claim is incorrect.

Find all the angles \( \theta \) in \( \left[0^{\circ}, 360^{\circ}\right) \) that have a \( \sin (\theta)=\frac{-1}{2} \)

Find the height of a building that projects a shadow of 350 ft on the ground, If the angle of elevation fr the end of the shadow to the top of the building is \( 40^{\circ} \). a) 234 ft p) 294 ft b) 315 ft d) 302 ft

Evaluate circular function cot for angle \( (\pi / 4) \) \[ \cot (\pi / 4)=\square \]

19) Find \( \sin A \) and \( \cot B \) for a right triangle given that \( b=2, c=\sqrt{29} \). a) \( O \sin A=\frac{\sqrt{29}}{5}, \cot B=\frac{2}{5} \) b) \( \sin A=\frac{5 \sqrt{29}}{29}, \cot B=\frac{5}{2} \) c) \( O \sin A=\frac{2}{5}, \cot B=\frac{5}{2} \) d) \( O \sin A=\frac{5}{29}, \cot B=\frac{5}{2} \)

Indicate the signs of \( \tan \theta \) if the terminal side of angle \( \theta \) (with the initial side in the standard position) is in the Fourth Quadrant.