Which expression is equivalent to [tex]\sin(22^\circ) \cos(18^\circ) + \cos(22^\circ) \sin(18^\circ)[/tex]?

Question

Anonymous · Answer

s in ( α + β ) = s in α cos β + cos α s in β s in 2 2 o cos 1 8 o + cos 2 2 o s in 1 8 o = s in ( 2 2 o + 1 8 o ) = s in 4 0 o ≈ 0.6428

16thompsonc · Answer

find the exact value using trigonometric identities 0.6427876 ;

Anonymous · Answer

The expression sin ( 2 2 ∘ ) cos ( 1 8 ∘ ) + cos ( 2 2 ∘ ) sin ( 1 8 ∘ ) is equivalent to sin ( 4 0 ∘ ) using the sine addition formula. By substituting the angle values, we applied the sine addition identity. Therefore, the final result is sin ( 4 0 ∘ ) . 
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Which expression is equivalent to [tex]\sin(22^\circ) \cos(18^\circ) + \cos(22^\circ) \sin(18^\circ)[/tex]?

Answer (3)

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