Prove This? cosx /secx-1-cosx/tan^2x=cot^2x

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Answer 1 · 2018-03-04T16:16:08

#cosx /(secx-1)-cosx/tan^2x=cot^2x#

#cosx /(secx-1)-cosx/(sec^2x-1)=cot^2x#

#cosx /(secx-1)-cosx/((secx-1)(secx+1))=cot^2x#

#(cosx(secx+1)) /((secx-1)(secx+1))-cosx/((secx-1)(secx+1))=cot^2x#

#(1+cosx) /((secx-1)(secx+1))-cosx/((secx-1)(secx+1))=cot^2x#

#1 /((secx-1)(secx+1))=cot^2x#

#1 /(sec^2x-1)=cot^2x#

#1 /(tan^2x)=cot^2x#

#cot^2x=cot^2x#