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