Question

What is the value of sin theeta/cos theeta + cos theeta/sin theeta?​

Answer 1

Answer:

sec(theta)cosec(theta)

Step-by-step explanation:

$\frac{\sin( \alpha ) }{ \cos( \alpha ) } + \frac{ \cos( \alpha ) }{ \sin( \alpha ) } \\ = \frac{{\sin( \alpha ) }^{2} + { \cos( \alpha ) }^{2} }{ \sin( \alpha ) \cos( \alpha ) } \\ = \frac{1}{ \sin( \alpha ) \cos( \alpha ) } \\ = \sec( \alpha ) \csc( \alpha )$

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