The expression is simplified to 2
It is important to note that the table of exact values for trigonometric identity differ with the particular identity in study.
From the table of exact values, we have that;
sin 15 = 0. 25
sin 30 = 0. 5000
sin 45 = 0. 7071
sin 60 = 0. 8600
sin 75 = 0. 9659
sin 90 = 1
To determine the value of the expression, we have to substitute the value of sin 30 as 0. 5000
4 sin 30°
⇒ 4 × 0. 5000
multiply through
⇒ 2
The value determined is 2
Thus, the expression is simplified to 2
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