Question

If sin A:cos A = 4:7, then the value of
cos A+sin A / cos A-sin A
IS
a) 3/14
b) 3/2
c) 11/3
d) 1/6
please give a perfect explanation​

Answer 1

Answer:

C. 11/ 3

Step-by-step explanation:

sinA = 4/7 cos A

sinA = 4/7 cos Acos A + sin A =( 4/7+1) cos A = 11/7 cos A ........(i)

sinA = 4/7 cos Acos A + sin A =( 4/7+1) cos A = 11/7 cos A ........(i)cos A-sin A =( 1 - 4/7)cos A = 3/7 cos A ........(ii)

sinA = 4/7 cos Acos A + sin A =( 4/7+1) cos A = 11/7 cos A ........(i)cos A-sin A =( 1 - 4/7)cos A = 3/7 cos A ........(ii)Dividing i and ii we get,

cos A +sin A/ cos A- sin A = 11/3

Hope this helps you