Question

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Answer 1

Step-by-step explanation:

${ \tan(x) }^{2} + { \cot(x ) }^{2} + 2$

${({ \tan(x) }^{2} + 1)} + { ({ \cot(x ) }^{2} + 1})$

${ \sec(x) }^{2} + { \csc(x) }^{2}$

$\frac{1}{ { \cos(x) }^{2} } + \frac{1}{ { \sin(x) }^{2} }$

$\frac{ { \sin(x) }^{2} + { \cos(x) }^{2} }{ { \sin(x) }^{2} { \cos(x) }^{2} }$

$\frac{1}{ { \sin(x) }^{2} { \cos(x) }^{2} }$

$\frac{1}{ { \sin(x) }^{2} } . \frac{1}{ { \cos(x) }^{2} }$

${ \csc(x) }^{2} . { \sec(x) }^{2}$

Hence Proved

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