Question

Verify the identity. Justify each step.

Answer 1

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

Answer 2

hint:
\(\large \begin{align} \color{black}{
\tan \theta=\dfrac{1}{\cot \theta} \hspace{.33em}\\~\\
}\end{align}\)

Answer 3

still dont get this

Answer 4

\(\large \begin{align} \color{black}{
\tan \theta \cot \theta =\frac{ 1 }{ \sin \theta \cos \theta } \hspace{.33em}\\~\\
\implies \dfrac{1}{\cot \theta} \cot \theta =\frac{ 1 }{ \sin \theta \cos \theta } \hspace{.33em}\\~\\
\implies 1 =\frac{ 1 }{ \sin \theta \cos \theta } \hspace{.33em}\\~\\
\normalsize \text{as LHS is not equal to RHS} \hspace{.33em}\\~\\
\normalsize \text{this identity is } \huge False \hspace{.33em}\\~\\
}\end{align}\)

Answer 5

does this makes sense ? their are other methods too

Answer 6

that makes a little sense