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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 β if β < α.

sin(2x + 2) = cos(3x + 8)
A) 16°
B) 34°
C) 56°
D) 74°

Respuesta :

vgut527

Answer:

Step-by-step explanation:

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

(7x-15)+(3x+5)=90-----> 10x-10=90----> 10x=100----> x=10°

so

7x-15------> 7*10-15----> 55°

3x+5------> 3*10+5----> 35°

we know that

β < α

therefore

the answer is

β =35°

α=55°

Answer:

34

Step-by-step explanation:

Thats the answer o usatest prep

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