Question

Please Help! Verify the identity. Justify each step.

Answer 1

\[\tan \Theta+ \cot \Theta= \frac{ 1 }{ \sin \Theta \cos \Theta } \]

Answer 2

you would have to know that
\[\tan \Theta = \frac{ \sin \Theta }{ \cos \Theta }\]
\[\cot \Theta=\frac{ \cos \Theta }{ \sin \Theta }\]

Answer 3

\[\frac{ \sin \Theta }{ \cos \Theta }+ \frac{ \cos \Theta }{ \sin \Theta }\]
\[\frac{ (\sin \Theta \times \sin \Theta)+ (\cos \Theta \times \cos \Theta) }{ \cos \Theta \sin \Theta }\]
\[\frac{ \sin ^{2}\Theta + \cos ^{2}\Theta }{ \cos \Theta \sin \Theta }\]

Answer 4

knowing that
\[\sin ^{2}\Theta+\cos^2\Theta =1\]

Answer 5

\[\frac{ 1 }{ \cos \Theta \sin \Theta }\]

Answer 6

which is the same as writing
\[\frac{ 1 }{ \sin \Theta \cos \Theta }\]

Answer 7

thank you :)