i have to use the inverse of tangent to find a missing angle in a triangle. the know sides are x+1 and 10. since i am using tangent, it should be arctan theta=x+1/10
my question is how do i solve this? i don't want the answer just HOW.
To solve the equation arctan(theta) = (x + 1)/10, you need to take the inverse tangent (arctan) of both sides of the equation to isolate theta. Here's a step-by-step explanation of how to solve it:
Step 1: Start with the equation arctan(theta) = (x + 1)/10.
Step 2: Take the inverse tangent (arctan) of both sides of the equation:
arctan(arctan(theta)) = arctan((x + 1)/10).
Step 3: Simplify the left-hand side:
theta = arctan((x + 1)/10).
This means that the missing angle in the triangle is equal to the expression arctan((x + 1)/10).
Please note that the arctan function outputs the angle (in radians) whose tangent is equal to the input value. If you want the angle in degrees, you'll need to convert it using the appropriate conversion formula.