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AlekseyPX
3 years ago
5

Angles α and β are the two acute angles in a right triangle. Use the relationship between sine and cosine to find the value of α

if α < β. sin(2x − 8) = cos(6x − 6)
Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0
We know that
in a right triangle
if sin A= cos B
then
angle A and angle B are complementary angles
so A+B=90

therefore

(2x-8)+(6x-6)=90-------> 8x-14=90----> 8x=104--------> x=13°

(2x-8)-----> 2*13-8----> 18°
(6x-6)-----> 6*13-6----> 72°
<span>if α < β
</span>then
<span> α =18</span>°
<span> β=72</span>°
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