.jpeg "1/2 X 13 X 5 X Sin(49)")
Evaluating the Expression: 1/2 x 13 x 5 x sin(49)
When dealing with mathematical expressions, it's essential to follow the order of operations (PEMDAS) to ensure accuracy. Let's break down the given expression: 1/2 x 13 x 5 x sin(49).
Step 1: Evaluate the Sine Function
The sine function takes an angle in radians as its input. To evaluate sin(49), we need to convert the angle from degrees to radians:
49° × (π/180) = 0.8563 radians (approx.)
Now, we can evaluate the sine function:
sin(0.8563) ≈ 0.7547
Step 2: Evaluate the Multiplication
Now that we have the value of the sine function, we can proceed with the multiplication:
(1/2) × 13 × 5 × 0.7547
Step 3: Evaluate the Expression
Following the order of operations, we'll perform the multiplication from left to right:
(1/2) × 13 = 6.5 6.5 × 5 = 32.5 32.5 × 0.7547 ≈ 24.68
Thus, the final result of the expression 1/2 x 13 x 5 x sin(49) is approximately 24.68.
