Question

If tan= ¾, then find the value of 1-cosA/1+cosA​

Answer 1

Answer:

1/9

Step-by-step explanation:

coz value of cos A =4/5

Answer 2

$\sf if \: tan = \frac{3}{4}$

$\sf \: {3}^{2} + {4}^{2} = {x}^{2} \\ 9 + 16 = {x}^{2} \\ \boxed{ \sf x = 5 } \\ \sf then \: cos \: \: A = \frac{4}{5} = \frac{opp}{adj} \\ \sf \: now \\ 1 - cosA = 1 - \frac{4}{5} = \frac{1}{5}$

$1 + cos \: A = 1 + \frac{4}{5} = \frac{9}{5} \\ now \: \\ \boxed{ \sf \frac{1 - cosA}{1 + cosA} = \frac{1}{5} \times \frac{5}{9} = \frac{1}{9} }$