1+sin/cos = cos/1-sin...please prove?

Question

1+sin/cos = cos/1-sin...please prove?

Answer 1

(1 + sin)(1-- sin) = 1 -- sin^2 = cos*cos whence

(1 + sin) / cos = cos / (1 -- sin)

Answer 2

Hi,

1 + sin x

------------- =

.cos x

(1 + sin x)(1 - sin x)

---------------------------- =

cos x(1 - sin x)

1 - sin² x

----------------------- =

cos x(1 - sin x)

Since sin² x + cos² x = 1, then 1 - sin² x = cos² x

cos² x

----------------------- =

cos x(1 - sin x)

cos x

------------- <==ANSWER

1 - sin x

I hope that helps!! :-)

Answer 3

multiply and divide by 1-sin

u'll get 1+sin/cos * 1-sin/1-sin

= 1-sin^2/cos (1-sin)

=cos^2/cos(1-sin)

=cos/1-sin