What is the exact value of sin (45 + 30)

akuzativo617

akuzativo617

Answered question

2022-11-19

What is the exact value of sin ( 45 + 30 )?

Answer & Explanation

lavarcar2d2

lavarcar2d2

Beginner2022-11-20Added 18 answers

Using the formula for the sine of the sum of two angles:
sin ( α + β ) = sin α cos β + cos α sin β
and assuming the angles are expressed in degrees:
sin ( 45 + 30 ) = sin 45 cos 30 + cos 45 sin 30
sin ( 45 + 30 ) = 2 2 3 2 + 2 2 1 2
sin ( 45 + 30 ) = 2 ( 3 + 1 ) 4

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