How do you find arcsin of root 2 over 2?
The exact value of arcsin(√22) arcsin ( 2 2 ) is π4 .
What is the Arccos of Root 3 2?
π6
The exact value of arccos(√32) arccos ( 3 2 ) is π6 .
What is the arcsin of 2?
As a Real valued function arcsin2 is undefined, since sin(x)∈[−1,1] for all x∈R .
What is the exact value of arcsin − 2 √ 2 arcsin − 22 Enter your answer in terms Ofππ in the box radians?
The exact value of arcsin(−√22) arcsin ( – 2 2 ) is −π4 .
How do you solve arcsin?
The inverse sine function, arcsine, will take the ratio of the opposite/hypotenuse (x) and return the angle, θ. So, knowing that, for our triangle, arcsin(x) = θ we can also write that: Sine: sin(arcsin(x)) = x. Cosine: cos(arcsin(x)) = √(1-x²)
Why is arcsin 2 Not possible?
What is the value of arcsin (sqrt (3)/2)?
3 Answers. Luca F. Answer: Explanation: #sqrt(3)/2# is a known value, and the main angle #alpha# that has #sin(alpha)=sqrt(3)/2# is #alpha=60°=pi/3#. Because arcsin is a function #RR->[-1;1]#, we take only the value #alpha=pi/3#, without the periodic values. So #arcsin(sqrt(3)/2)=60°=pi/3#.
How do you find the arcsin of 30 degrees?
For example, If the sine of 30° is 0.5: sin (30°) = 0.5 Then the arcsine of 0.5 is 30°: arcsin (0.5) = sin -1 (0.5) = 30°
Does arcsin have an inverse?
Arcsine, written as arcsin or sin-1 (not to be confused with ), is the inverse sine function. Sine only has an inverse on a restricted domain, ≤x≤ . In the figure below, the portion of the graph highlighted in red shows the portion of the graph of sin(x) that has an inverse.
What is the graph of y = arcsin (x)?
The graph of y = arcsin (x) is shown below. As can be seen from the figure, y = arcsin (x) is a reflection of sin (x), given the restricted domain ≤x≤, across the line y = x. The domain of arcsin (x), -1≤x≤1, is the range of sin (x), and its range, ≤y≤, is the domain of sin (x).