Question

Which represents the value of c?

a) (c = (3) times sin(40^circ) times sin(45^circ))
b) (c = (3) times sin(45^circ) times sin(40^circ))
c) (c = sin(40^circ) times (3) times sin(45^circ))
d) (c = sin(45^circ) times (3) times sin(40^circ))

Answer 1

All options (a, b, c, and d) correctly represent the value of c, as the order of multiplication does not change the product due to the commutative property of multiplication.

Step-by-step explanation:

The student's question is asking which of the given options correctly represents the value of c. It's important to note that in multiplication, the order of factors does not affect the product due to the commutative property. Therefore, sin(40°) times sin(45°) is the same as sin(45°) times sin(40°) and can be multiplied by 3 in any order, which means all of the options (a, b, c, and d) are mathematically equivalent and correctly represent the value of c.