SOLUTION: If A is an angle in standard position and satisfies the conditions: the terminal side of A is in quadrant 1 and lies on the line y=6x, then find the value of sin A.
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Question 137700: If A is an angle in standard position and satisfies the conditions: the terminal side of A is in quadrant 1 and lies on the line y=6x, then find the value of sin A. Answer by dolly(163) (Show Source):
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Hi,
Consider any point lying on the line y = 6x
Let the point be (1,6)
The given line passes through the origin
So the horizontal distance is 1 and the vertical distance from the origin is 6
==> the hypotenuse = sqrt(1^2 + 6^2)
= sqrt(1+36)
= sqrt(37)
Thus sinA = opp/hyp
= 6/sqrt(37)
SinA =
dolly
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