Evaluation of Sin and Square Root Expression
The expression you're trying to evaluate is "sin(π/2) √72". Let's break it down step by step.
First, let's find the value of sin(π/2), which is the sine of 90 degrees. The sine of a 90-degree angle (π/2 radians) is equal to 1.
Next, let's simplify the square root of 72. The square root of 72 can be broken down into √(36 * 2), which simplifies to 6√2, because √36 equals 6.
Multiplying these two results together (since sin(π/2) = 1 doesn't really affect the multiplication):
1 * 6√2 = 6√2
So the final answer to the expression sin(π/2) √72 is 6√2.
