Question

2 cos(x+y)=1 and 2sin(x-y)=1 find value of x and y​

Answer 1

Answer:

x=45

y=15

Step-by-step explanation:

2 cos {x+y}= 1

cos [x+y]=1/2, cos 60 = 1/2, x+y =60..........[1]

2sin [x+y]=1

sin[x-y]-1/2, sin 30 =1/2, x-y =30...............[2]

[1]+[2]

2x= 90

x =45

45+y=60, from [1]

y = 60-45 = 15

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