Math, asked by rajsanjel201, 10 months ago

1/1-sin - 1/1+sin=2sec.tan​

Answers

Answered by allthemayurifans
2

Step-by-step explanation:

Im sorry but could you check your question again bcoz u don't find these type of trigonometric equation .

Answered by Mysterioushine
6

 \frac{1}{1 -  \sin a }  -  \frac{1}{1 +  \sin a}  \\  \\  =  \frac{1(1 +  \sin a) - 1(1 -  \sin a ) }{(1 +  \sin a)(1 -  \sin a ) }  \\  \\  =  \frac{1 +  \sin a - 1  + \sin a}{1 -  \sin {}^{2} a}  \\  \\  =  \frac{2 \sin a}{ \cos {}^{2} a }  =  \frac{2 \sin a }{ \cos a }  \times  \frac{1}{ \cos  a }   \\  \\  = 2 \tan a. \sec \: a = rhs \:  \\  \\ hence \: proved

Similar questions