Math, asked by ranjitasahoo370, 4 months ago

tana (1 + sec 2a) = tan 2a​

Answers

Answered by Anonymous
2

\huge\underline\mathrm\red{Answer}

l \: h \: s \:  = tan \: a(1 + sec 2a) \\   \\ = tan \: a(1 +  \frac{1}{cos \: 2a} ) \\ \\   = ( \frac{1 + cos2a}{cos2a} ) \\  \\   = \frac{1}{cos2a} \:   \\  \\  (tan \: a \times 2 {cos}^{2} a) \\  \\ ( \frac{ \sin(a) }{cos \: a}  \times 2  {cos}^{2} a) \\  \\  =  \frac{sin2a}{cos2a} \\ \\  = tan2 \: a \\  \\ lhs \:  =  \: rhs

Answered by paramjeetsingh57129
1

Step-by-step explanation:

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