Math, asked by harshad1305, 1 month ago

sin x-cos x +1 2. Prove that sin x + cos X-1 sec x + tan x.​

Answers

Answered by amitbobbypathak
1

Answer:

Dear Student,

Please find below the solution to your problem.

a) sinx-cosx+1/ sinx+cosx -1

= (sinx-cosx+1)x(sinx +cosx +1) / (sinx+cosx - 1)x(sinx +cosx +1)

= (sinx +1)sq. - (cosx)sq./ (sinx +cosx) sq. - (1)sq.

= sinsq.x + 2sinx + 1 – cossq.x / sinsq.x + cossq.x + 2sinxcosx – 1

= 2sinsq.x + 2sinx / 2sinxcosx

= 2sinx(sinx +1)/ 2sinxcosx

= sinx + 1/cosx

= (1+sinx)x(1-sinx)/ (cosx) x(1-sinx)

= cosx/(1-sinx) (dividing num. and den. by cosx)

= 1/secx-tanx

= sec x + tan x

Step-by-step explanation:

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