Math, asked by thebestkps, 10 months ago

if secA= 5/4
then what is 1-tanA/1+tanA

Answers

Answered by umiko28
1

Answer:

\huge\underline{ \underline{ \red{your \: \: answer}}}

Step-by-step explanation:

 \sf\red{ sec  A= \frac{5}{4} } \\  \sf\red{ =  >  {sec}^{2} A =  \frac{25}{16}  } \\  \sf\red{ =  > 1 +  {tan}^{2} A=  \frac{25}{16}  } \\  \sf\red{ =  >  {tan}^{2} A =  \frac{25}{16}  - 1} \\  \sf\red{ =  >  {tan}^{2} A =  \frac{25 - 16}{16}  } \\  \sf\red{ =  >  {tan}^{2} A =  \frac{9}{16}  } \\  \sf\red{ =  > tan A  =  \sqrt{ \frac{9}{16} } } \\  \sf\red{ =  > tan A=  \frac{3}{4} } \\  \sf\purple{ \frac{1 - tan A}{1 + tanA } =  ?} \\ \sf\purple{ =  >  \frac{1 -  \frac{3}{4} }{1 +  \frac{3}{4} } } \\ \sf\purple{ =  >  \frac{ \frac{4 - 3}{4} }{ \frac{4 + 3}{4} } } \\ \sf\purple{ =  >  \frac{ \frac{1}{4} }{ \frac{7}{4} } } \\ \sf\purple{ =  >  \frac{1}{4}  \times  \frac{4}{7} } \\ \sf\purple{ =  >  \frac{1}{7} }

\large\boxed{ \fcolorbox{pink}{yellow}{hope \: it \: help \: you}}

Answered by pke3s1ha7
0

Answer:

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