Theta is the positive acute angle and the largest and the smallest value of x + y sin theta is 9 and 7 respectively. x =? please solution this problem.
Anonymous:
x=8
x=7 sorry
y=2
x=8
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For an acute angle :
The largest possible value of sin theta = 1
x + y sin theta = 9 [ largest ] ................(1)
The smallest possible value of sin theta = 0
x + y sin theta = 7 [ smallest ]
sin theta = 0
==> x + 0 = 7
==> x = 7
Put this in (1)
7 + y sin theta = 9
y * 1 = 9 - 7
==> y = 2
The values are:
x = 7
y = 2
Hope it helps
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x will be 7 when u put 0 as sin theta and 0 is the least possible value !
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