prove that 1/sec x - tan x - 1/cos x = 1/cos x - 1/sec x + tan x
Answers
Answered by
8
LHS ,1/(secx-tanx)-secx
=1-sec²x+secxtanx/secx-tanx...(sec²x-1=tan²x or 1-sec²x=-tan²x)
=secxtanx -tan²x/(secx-tanx)
=tanx(secx-tanx)/(secx-tanx)=tanx
RHS,secx-1/(secx+tanx)
=sec²x+tanxsecx-1/(secx+tanx)...(sec²x-1=tan²x)
=tan²x+tanxsecx/(secx+tanx)
=tanx(tanx+secx)/(secx+tanx)
=tanx
LHS=RHS
1/cosx =secx likha h
aur fir lcm se kiya h
=1-sec²x+secxtanx/secx-tanx...(sec²x-1=tan²x or 1-sec²x=-tan²x)
=secxtanx -tan²x/(secx-tanx)
=tanx(secx-tanx)/(secx-tanx)=tanx
RHS,secx-1/(secx+tanx)
=sec²x+tanxsecx-1/(secx+tanx)...(sec²x-1=tan²x)
=tan²x+tanxsecx/(secx+tanx)
=tanx(tanx+secx)/(secx+tanx)
=tanx
LHS=RHS
1/cosx =secx likha h
aur fir lcm se kiya h
kunj72:
its not clear buddy
Similar questions
Math,
1 year ago
Accountancy,
1 year ago
Science,
1 year ago
Sociology,
1 year ago
English,
1 year ago