Question

prove that (cosx/(1-sinx))+((1-sinx)/cosx)=2secx

Answer 1

Answer:

Step-by-step explanation:

Convert the left side into terms with common denominator and add (converting

cos2+sin2 to 1

along the way); simplify and refer to definition of

sec=1cos

Explanation:

(cos(x)1+sin(x))+(1+sin(x)cos(x))

=cos2(x)+1+2sin(x)+sin2(x)cos(x)(1+sin(x)

=2+2sin(x)cos(x)(1+sin(x))

=2cos(x)

=2.1cos(x)

=2sec(x)

Answer 2

the answer is in the image.