solve to four decimals places
5.0118 sinx - 3.1105=0 :for all real x values
I will be happy to critique your work. Solve for sinx, then arcsinx
add 3.1105 to both sides of the equation. Equation is now 5.0118sinx = 3.1105. Divide both sides of the equation by 5.0118. Equation is now
sinx = 0.6206(rounded to 4 decimal places). To find x, plug in arcsine of 0.6206 on calculator. That equals to 38.3600 (rounded to 4 decimal places).
I don't know if I did that right
To solve the equation 5.0118 sinx - 3.1105 = 0, follow the steps below:
Step 1: Move the constant term to the right-hand side of the equation:
5.0118 sinx = 3.1105
Step 2: Divide both sides of the equation by 5.0118 to isolate sinx:
sinx = 3.1105 / 5.0118
Step 3: Using a calculator, evaluate the right-hand side to find the approximate value of sinx. Using four decimal places, you would get:
sinx ≈ 0.6200
To find the value of x, we will use the arcsin function (also known as sin^(-1) or asin) to solve for x:
Step 4: Take the inverse sine of both sides of the equation:
x = arcsin(0.6200)
Using a calculator, evaluate the arcsin of 0.6200 to find the approximately equal value of x. Rounding to four decimal places, you would get:
x ≈ 0.6615
Therefore, the solution to the equation 5.0118 sinx - 3.1105 = 0 is sinx ≈ 0.6200 and x ≈ 0.6615.