3. Prove each co-function identity using the compound angle identities. (a) \( \tan \left(\frac{\pi}{2}-\theta\right)=\cot \theta \) (b) \( \sin \left(\frac{\pi}{2}-\theta\right)=\cos \theta \) (c) \( \csc \left(\frac{\pi}{2}-\theta\right)=\sec \theta \) 4. Given that \( \sin x=\frac{3}{5} \) and that \( 0<x<\frac{\pi}{2} \), find the exact values of:

A pylon \( \$ \$ 23.7 \$ \$ \mathrm{~m} \) high casts a shadow \( \$ \$ 46.8 \$ \$ \mathrm{~m} \) long. Determine the angle of elevation of the sun to the nearest tenth of a degree. 23.7 m high casts a shadow 46.8 m long. Determine the angle of elevation of the sun to the nearest tenth of a degree. Show answer

\( \operatorname{Csc} 82.4^{\circ}= \) Blank 1 Express your answer in 3 decimal points.

3- Sabendo que \( \operatorname{cotag} 40^{\circ}=1,1918 \) e \( \cos 43^{\circ}=0,7314 \), determine. a) \( \operatorname{Cotag} 320^{\circ}= \) b) \( \cos 223^{\circ}= \)

\( r = \tan \theta \sec \theta \)

tan \( 0.8035=\underline{\text { Blank } 1} \) (Express your answer in 3 decimal points) Blank 1 Add your Thnswer