Math, asked by nidhi411, 10 months ago

grade 10th it's urgent

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Answered by pinky26sethi

LHS = root ( 1 + cos A ) / ( 1 - cos A )

Multiply numerator and denominator with ( 1 + cos A )

= root ( 1 + cos A ) ( 1 + cos A ) / ( 1 - cos A ) ( 1 + cos A )

= root ( 1 + cos A ) ^2 / ( 1^2 - cos ^2 A ) ( a + b ) ( a - b) = a^2 - b ^2

= root ( 1 + cos A ) ^2 / ( sin ^2 A )

= ( 1 + cos A ) / sin A

= ( 1 / sin A ) + ( cos A / sin A )

= cosec A + cot A

HENCE LHS =RHS PROVED

HOPE THIS IS HELPFUL

PLZ MARK IT AS BRAINLIEST

pinky26sethi: plzz mark it as brainliest

nidhi411: I didn't understand last two steps

nidhi411: got it thanks

nidhi411: options is their on above

pinky26sethi: consider it as a+b/c okay we have separate it into a/c+b/c if we will add a/c+b/c we will get a+b/c okay like that ( 1 / sin A ) + ( cos A / sin A) so we got cosec A + cot A

pinky26sethi: yes

pinky26sethi: plzz mark it as brainliest plzz

nidhi411: done

pinky26sethi: thanks

nidhi411: welcome

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