Math, asked by krajalakshmi76, 1 year ago

1/tan X+tan X=1/cos X sin X
prove this .

Answers

Answered by RHarsha

from LHS
1/tanX+tanX
cotX+tanX
cosX/sinX+sinX/cosX

so

sin²X+cos²X/sinXcosX

we know

sin²X+cos²X=1
so

1/sinXcosX

hence proved

krajalakshmi76: cosX/sinX+sinX/cosX

so

sin²X+cos²X/sinXcosX

krajalakshmi76: i cant understand this step

krajalakshmi76: can u explain plzzzz

Anonymous: jus taking LCM u get square

Anonymous: later we know value of sin2x +cos2x=1..by substituing we get tht

Anonymous: c my answer..u get better,,plz mark tht as brainlest

Answered by Anonymous

LHS
1/tanX+tanX
cotX+tanX
cosX/sinx+sinX/cosX

BY LCM
cos²X+sin²X/sinXcosX

We know cos²X+sin²X=1
1/sinXcosX
⇒1/cosXsinX
Hence Proved

Anonymous: Plz mark it as brainlest..plz

Previous Question

Next Question

1/tan X+tan X=1/cos X sin X prove this .

Answers

1/tan X+tan X=1/cos X sin X
prove this .