Math, asked by Anonymous, 7 months ago

Answer this as soon as possible and don't attempt if you don't know. Thanks!​

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Answered by keyboardavro
0

Answer:

if you can say me the value of sec i can help

Step-by-step explanation:

Answered by Anonymous
33

\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\red{W}\green{E}\purple{R}}}

 \large \red {\bf \: GIVEN : \frac{ \bf cos A }{ \bf1 +   \bf \: sin A} \:  +  \frac{ \bf 1 + sin A }{  \bf \: cos A} =  \bf2 \: sec \: A}

 \large \purple {\bf \: TO \:  PROVE : LHS = RHS }

\huge\sf{\underline{\pink{SOLUTION!}}}

 \large =  \bf \: LHS

  \large \bf =  \frac{ \bf cos A }{ \bf1 +   \bf \: sin A} \:  +  \frac{ \bf 1 + sin A }{  \bf \: cos A}

 \large \bf =  \frac{ {cos}^{2}A + (1 + sinA   {}^{2} )}{cosA(1 + sinA)}

 \large \bf =  \frac{cos^{2}A + 1 +  sin ^{2} A + 2sin A}{cosA(1 + sinA)}

  \large \bf =  \frac{2 + 2sinA}{cosA(1 + sinA)}

 \large \bf  =   \frac{2}{cosA}

 \large \bf = 2secA

 \large \bf  = RHS

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\large\bf{\underline{\purple{Hope \:  It \:  Helps  \: You!}}}

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