function of 60degrees. (-10,24) find sin 60degrees.
1. -5/13
2. 12/13
3.-12/13
4. 5/13
Hi,
Your problem is not totally correct. If the terminal side of an angle includes the point (-10,24), its reference angle would have a tangent value of 24/-10. The arctan(24/-10) = 67.38° so 60° is not actually involved here.
But if this terminal side forms a triangle down to the x axis, then its adjacent side is -10, its opposite side is 24, and its hypotenuse is 26. That comes from the Pythagorean Theorem (-10)² + (24)² = c².
100 + 576 = c²
676 = c²
26 = c
Using these sides, since sin = opposite/hypotenuse, then sin = 24/26, which reduces to 12/13. This is answer 2.
I hope that helps!! 
November 24th, 2008 at 4:23 am
Hi,
Your problem is not totally correct. If the terminal side of an angle includes the point (-10,24), its reference angle would have a tangent value of 24/-10. The arctan(24/-10) = 67.38° so 60° is not actually involved here.
But if this terminal side forms a triangle down to the x axis, then its adjacent side is -10, its opposite side is 24, and its hypotenuse is 26. That comes from the Pythagorean Theorem (-10)² + (24)² = c².
100 + 576 = c²
676 = c²
26 = c
Using these sides, since sin = opposite/hypotenuse, then sin = 24/26, which reduces to 12/13. This is answer 2.
I hope that helps!!
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