Question

If x tan 30° + y cot 30°= 0 and
2x cos 0° - y tan 45° = 1 then find the value of x and y

Answer 1

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