Math, asked by IronManMK85, 10 months ago

Please Answer it. Please dont Spam​

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Answered by arunima1418
1

Step-by-step explanation:

  \frac{ \sin(a) }{1 -  \frac{ \cos(a) }{ \sin(a) } }  +  \frac{ \cos(a) }{1 -  \frac{ \sin(a) }{ \cos(a) } }  =  \sin(a)  +  \cos(a)

 \frac{ \sin(a) }{ \frac{ \sin(a )  -  \cos(a) }{ \sin(a) } }  +  \frac{ \cos(a) }{ \frac{ \cos(a) -  \sin(a)  }{ \cos(a) } }  =  \sin(a)   +  \cos(a)

 \frac{ { \sin(a) }^{2} }{ \sin(a )  -  \cos(a) }  +  \frac{ { \cos(a) }^{2} }{ \cos(a)  -  \sin(a) }  =  \sin(a)   +  \cos(a)

 \frac{ { \sin(a) }^{2} }{ \sin(a) -  \cos(a)  }  -  \frac{ { \cos(a) }^{2} }{ \cos(a) -  \sin(a)  }  =  \sin(a )  +  \cos(a)

 \frac{( \cos(a) +  \sin(a))( \cos(a) -  \sin(a)  )  }{ \cos(a)  -  \sin(a) }  =  \sin(a)  +  \cos(a)

now cos a-sin a would cancel and the remaining would be the answer

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