Resolver las siguientes identidades trigonométricas 1. \( \boldsymbol{\operatorname { c o s } ( \alpha ) + \operatorname { s i n } ( \alpha ) \operatorname { t a n } ( \alpha ) = \operatorname { s e c } ( \alpha )} \) 2. \( 1-\sin (\alpha) \cos (\alpha) \tan (\alpha)=\cos ^{2} \propto \) 3. \( \cot ^{2} \alpha+1=\frac{1}{\operatorname{sen}^{2} \alpha} \)

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

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

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

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.