Math, asked by darkshasiddiqui7777, 10 months ago

सिद्ध कीजिए cosA/1+sinA +1+sinA/cosA =2sinA​

Answers

Answered by jainishpjain
1

 \frac{ \cos(x) }{1 +  \sin(x) }  +  \frac{1 +  \sin(x) }{ \cos(x) }  \\   = \frac{ { \cos }^{2}x +  {(1 +  \sin(x)) }^{2}  }{ \cos(x) (1 +  \sin(x) )}  \\  =   \frac{{cos}^{2}x +  {1}^{2}   +  {sin}^{2} x + 2 \sin(x)   }{cosx(1 +  \sin(x) ) }  \\  =  \frac{2 + 2 \sin(x)  }{cosx(1 +  \sin(x) )}  \\  =  \frac{2(1 +  \sin(x) )}{ \cos(x) (1 +  \sin(x)) }  \\  =  2 \times \frac{1}{cosx}  \\  = 2 \sec(x)  \\  \\ hence \: proved

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Answered by sd833544
0

Answer:

land

Step-by-step explanation:

land lelo betichod bhak bhosdike

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