how to solve (√(2)/2) / (-2/√(2))
steps too please
the answer is 1
in other words it's tan(π/4)= 1
(√(2)/2) / (-2/√(2))
= (√2/2)(√2/-2)
= 2/-4
= -1/2
did you have a typo?
Not solve, simplify
(√(2)/2) / (-2/√(2))
(sqrt(2))/2 * (sqrt(2))/2 = -2/4 = -1/2
I don't know what this means in regards to the above. (simplify part)
"the answer is 1
in other words it's tan(π/4)= 1"
i just noticed it's supposed to be (√2/2)/(-√2/2) and i got -1 but the answer is supposed to be 1
To solve the expression (√(2)/2) / (-2/√(2)), you can simplify it by multiplying the numerator and denominator by the conjugate of the denominator.
Here are the steps:
Step 1: Write the expression: (√(2)/2) / (-2/√(2))
Step 2: Multiply the numerator and denominator by the conjugate of the denominator. The conjugate of -2/√(2) is √(2)/2.
(√(2)/2) / (-2/√(2)) * (√(2)/2) / (√(2)/2)
Step 3: Simplify the expression by multiplying the numerators and denominators.
(√(2) * √(2)) / (2 * -2)
Step 4: Simplify further.
(2) / (-4)
Step 5: Divide the numerator by the denominator.
-1/2
The simplified expression -1/2 is not equal to 1. However, if you made a mistake in the given expression, and it should be (√(2)/2) / (2/√(2)), then the steps would be as follows:
Step 1: Write the expression: (√(2)/2) / (2/√(2))
Step 2: Multiply the numerator and denominator by the conjugate of the denominator. The conjugate of 2/√(2) is √(2)/2.
(√(2)/2) / (2/√(2)) * (√(2)/2) / (√(2)/2)
Step 3: Simplify the expression by multiplying the numerators and denominators.
(√(2) * √(2)) / (2 * 2)
Step 4: Simplify further.
(2) / (4)
Step 5: Divide the numerator by the denominator.
1/2
Therefore, in this case, the answer is 1/2, not 1.