Question

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( x 2 + 2x) = cos(2x + 3x 2 )
A) 15°
B) 37.5°
C) 52.5°
D) 75°

Answer 1

Answer:

B) 37.5

Step-by-step explanation:

Sine and cosine of complementary angles. therefore

(x/2 + 2x)+(2x+ 3x/2) = 90 which means x=15 then 15/2 + 2x = 37.5

2(15) + 3(15)/2 which means x=52.5 therefore B=37.5

Answer 2

The answer is c hope this helps god bless and have a nice day sirr