Question

if tanA=4/3 then find the value ofsinA+cosA​

Answer 1

Question:-

If $\tan \: A = \frac{4}{3}$

then find the value of Sin A + Cos A

Solution:-

Please refer to the attachment

Final Answer:-

$\sin \:A \: + \cos \:A \: = \frac{7}{5}$

Answer 2

Answer:

$\frac{7}{5}$

Step-by-step explanation:

$\tan(a) = \frac{4}{3} \\ \\ 4 = opp \\ 3 = adj \\ \\ {4}^{2} + {3}^{2} = x {}^{2} \\ 16 + 9 = {x }^{2} \\ \sqrt{25} = x \: \: \: \: \: {{x = hyp}} \\ \sin(a) + \cos(a) = \\ \frac{4}{5} + \frac{3}{5} = \frac{7}{5}$