Question

Q1. Given 5 cos A - 12 sin A= 0, find the value of (sin A + cos A) / (2 cos A - sin A)\
Please answer fast and show the working.
Thanks in advance

Answer 1

Given: 5 cos A - 12 sin A= 0

To find: the value of (sin A + cos A) / (2 cos A - sin A)

Solution:

• Now we have given 5 cos A - 12 sin A = 0

• We can rewrite it as:

                5 cos A = 12 sin A

                5/12 = sin A / cos A

                tan A = 5/12 = perpendicular /base

• Hypotenuse will be:

                √p^2 + b^2 = √5^2 + 12^2

                √169 = 13

                sin A = 5/13 and cos A = 12/13

• So putting these values in given expression, we get:

                ( 5/13 + 12/13 )/( 2×12/13 - 5/13)

                ( 17/13 )/( 19/13 )

                17/19

Answer:

            So the value of given expression is 17/19