3cotx - radical 3 = 0
solve for x
please show it step by step
3cotx - √3 = 0
3cotx = = √3
cotx = 1/√3
Now it's time to review the "standard" angles whose trig functions are easy to remember. One of these is 60°, where
cot60° = 1/√3
in the second step , don’t you divide by 3 on both sides ?
yes. since 3=√3*√3, √3/3 √3/(√3*√3) = 1/√3
wait i’m lost
so you get radial 3 / 3
Then what ?
ohh i see it
cot x = radical 3 / 3
so the tan x = 3 / radical 3
— which is radical 3 when rationalized
so x= pi/3? and 4pi/3?
correct
To solve the equation 3cotx - √3 = 0, we need to isolate the variable x. Here are the step-by-step instructions:
Step 1: Start by moving the √3 term to the other side of the equation.
3cotx = √3
Step 2: Divide both sides of the equation by 3 to isolate the cotx term.
cotx = √3 / 3
Step 3: Next, find the inverse of the cotangent function to get x.
x = arccot (√3 / 3)
Step 4: To obtain the numerical value of x, use a calculator in radians or degrees mode, depending on the given question context.
Note that the arccot function might be represented as cot^(-1), cot^(-1)(x), or arccot(x) on calculators or in different representations.