Question

if 4sinx.cosy+2sinx+2cosy+1=0 then find the largest possible value of the sum (x+y)

Answer 1

Answer:

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Step-by-step explanation:

4sinxcosy+2sinx+2cosy+1=0

(2sinx+1)(2cosy+1)=0

sinx=−

2

1

or cosy=

2

−1

x=

6

7π

,

6

11π

or y=

3

2π

,

3

4π

Largest value of x+y=

6

11π

+

3

4π

=

6

19π