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tanθ + cotθ is

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tanθ + cotθ is


1). 1
2). tanθ
3). cosecθ cotθ
4). secθcosecθ


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1 answers

1 vote
Answered by on | Votes 1 |
$(\begin{array}{l} \Rightarrow {\rm{\;}}\tan {\rm{\theta \;}} + {\rm{\;}}\cot {\rm{\theta }} = {\rm{\;}}\left( {\frac{{{\rm{sin\theta }}}}{{{\rm{cos\theta }}}}} \right){\rm{\;}} + {\rm{\;}}\left( {\frac{{{\rm{cos\theta }}}}{{{\rm{sin\theta }}}}} \right)\\ = \frac{{{{\sin }^2}{\rm{\theta \;}} + {\rm{\;}}{{\cos }^2}{\rm{\theta }}}}{{{\rm{sin\theta cos\theta }}}} = {\rm{\;}}\frac{1}{{{\rm{sin\theta cos\theta }}}} = {\rm{\;sec\theta cosec\theta }} \end{array})$

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