SOLUTION: Angles ∝ and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of ∝ if ∝ > β.
sin(2x-8/3
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-> SOLUTION: Angles ∝ and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of ∝ if ∝ > β.
sin(2x-8/3
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Question 1031751: Angles ∝ and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of ∝ if ∝ > β.
sin(2x-8/3) = cos(4x-10/3)
A) 26.33°
B) 29.33°
C) 60.67°
D) 63.67°
You can put this solution on YOUR website! Well, since we know that sin(x) = cos(90-x), we can transform the given into
2x - 8/3 = 90 - (4x - 10/3)
2x - 8/3 = 90 - 4x + 10/3
Now clear fractions by multiplying by three...
6x - 8 = 270 - 12x + 10
6x - 8 = 280 - 12x
18x = 288
x = 16
4x - 10/3 = 4(16) - 10/3 = 64 - 3.33 = 60.67 degrees.
Choice C.
