If x tan 30° + y cot 30°= 0 and
2x cos 0° - y tan 45° = 1 then find the value of x and y
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Answer:
X=3/7 and y= -1/7
Explanation:
xtan30'+ycot30'=0
=x 1/root3+y root3=0…eq(1)
2xcos0'-ytan45'=1
=2x-y=1
=2x-1=y
=y=2x-1…eq(2)
Putting the value of equation2 to equation1
x/root3+y root3=0
=x/root3+(2x-1) root3=0
=x/root3+2x root3-root3=0
=x+6x-3/root 3=0
=7x-3=0
=7x=3
=x=3/7
Putting the value of x to equation 2
y=2x-1=2(3/7)-1=6/7-1=6-7/7= -1/7
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