Sin theta=0.1736
sin 0.17448 = 0.1736
don't you have a sin-1 button on your calculator?
To find the value of theta, we can use the inverse sine function (also known as arcsine).
Step 1: Take the inverse sine of both sides of the equation.
sin^(-1)(sin theta) = sin^(-1)(0.1736)
Step 2: Simplify the expression on the left side using the property of inverse functions.
theta = sin^(-1)(0.1736)
Step 3: Calculate the value of sin^(-1)(0.1736) using a calculator.
theta ≈ 9.9994 degrees (rounded to four decimal places)
Therefore, the value of theta that satisfies the equation sin theta = 0.1736 is approximately 9.9994 degrees.
To find the value of theta when sin theta is equal to 0.1736, you can use the inverse sine function, also known as arcsine or sin^(-1).
The inverse sine function, denoted as sin^(-1) or arcsin, returns the angle whose sine is a given value.
So, to find theta, you can use the inverse sine function as follows:
theta = sin^(-1)(0.1736)
Now, depending on whether you are using degrees or radians, you will need to use the appropriate inverse sine function.
If you are working in degrees, use:
theta = sin^(-1)(0.1736) ≈ 10.04 degrees
If you are working in radians, use:
theta = sin^(-1)(0.1736) ≈ 0.175 radians
Remember that inverse trigonometric functions have a principal value, and there can be multiple values of theta that satisfy the given condition. So, it's important to consider the context and any given restrictions to determine the appropriate theta value.