Math, asked by solider79, 9 months ago

plzzzzzzzzzzzz
answer this question quickly
I'll give you 50points

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Answered by Anonymous
6

HERE IS YOUR ANSWER

(sec A+tan A)(1-sin A)

=sec A+tan A-sec A×sin A-tan A×sin A

=(1/cos A)+tan A-(1/cos A)(sin A)-(sin²A/cos A)

=[(1-sin²A)/cos A]+tan A-tan A

=cos²A/cos A

=cos A

Answered by Anonymous
54

\huge \sf{ \underline{ \overline{  \pink{ \huge{ \boxed{ \red {  \bigstar{ \:  \: answer\:  \:{ \star { \star}}}}}}}}}} </p><p>

( \sec( \alpha)  + \tan( \alpha ) )(1 -  \sin( \alpha ) ) \\  \\  =  \sec( \alpha )  +  \tan( \alpha )  -  \sec( \alpha )  \times  \sin( \alpha )  -  \tan( \alpha )  \times  \sin( \alpha )  \\  =  \frac{1}{ \cos(a) } +  \tan( \alpha )   - ( \frac{1}{ \cos( \alpha ) } ) ( \sin( \alpha ) ) -  ( \frac{ { \sin  }^{2}  \alpha }{ \cos( \alpha ) })  \\  = ( \frac{1 -  { \sin}^{2} a}{ \cos( \alpha ) }) +  \tan( \alpha )  -  \tan( \alpha  )  \\  \\  =    \frac{ { \cos }^{2}  \alpha }{ \cos \alpha  }

\huge \sf{ \underline{  \pink{ \huge{ \ { \:  \:  =  \cos( \alpha ) \:  \:{ \star { \star}}}}}}}</p><p>

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