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eduard
2 years ago
13

Prove that 1/1+sinA -1/1+sinA =2tanAsinA​

Mathematics
1 answer:
enyata [817]2 years ago
3 0

Step-by-step explanation:

\frac{1}{1 +  \sin( \alpha ) }  \frac{1}{1 -  \sin( \alpha ) }  \\  \frac{1 -  \sin( \alpha ) + 1 +  \sin( \alpha )  }{(1 +  \sin( \alpha ))(1 -  \sin( \alpha ))  }  \\  =  \frac{2}{1 -  {sin}^{2} \alpha }  \\  \frac{2}{ {cos}^{2} \alpha  } = 2  \:  {sec}^{2}  \alpha

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