The first formula for cot3x is cot3x = (3cotx - cot 3 x)/(1 - 3cot 2 x) which can be obtained using the angle sum formula of the cot function and the cot2x formula. Also, we can write the cotangent function as the ratio of the cosine function and the sine function .

Learn formula of cot(3x) or cot(3A) or cot(3θ) or cot(3α) identity with introduction and geometric proof to expand or simplify cot of triple angle.

Use the form acot(bx−c)+ d a cot (b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Since the graph of the function cot c o t does not have a maximum or minimum value, there can be no value for the amplitude. Find the period of cot(3x) cot (3 x). Tap for more steps...

Find the period of cot(3x) cot (3 x). Tap for more steps... The period of the cot(3x) cot (3 x) function is π 3 π 3 so values will repeat every π 3 π 3 radians in both directions. Consolidate the answers. x = π 6 + πn 3 x = π 6 + π n 3, for any integer n n.

Use the form acot(bx−c)+ d a cot (b x - c) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Since the graph of the function cot c o t does not have a maximum or minimum value, there can be no value for the amplitude. Find the period of cot(3x) cot (3 x). Tap for more steps...

Multiply the numbers: 2⋅ 3= 6 = 6π. What is the general solution for cot (3x)=0 ?

Range of cot (3 x): − ∞ < f (x) < ∞ Axis interception points of cot ( 3 x ) : X Intercepts : ( 6 π + 3 πn , 0 ) Asymptotes of cot ( 3 x ) : Vertical : x = 3 π n

We can write cot(x)=cos(x) /sin(x) . Now we have to find for what value of x cos(x) = 0. cos(x) = 0 for x = [(2n-1)/2]PI where n=1,2,3,……..n. So simply cot(x) = 0 have infinitely many solution in ...

Dec 16, 2024 · Transcript. Ex 3.3, 22 Prove that cot 𝑥 cot 2𝑥 – cot 2𝑥 cot 3𝑥 – cot 3𝑥 cot 𝑥 = 1 Solving L.H.S. cot x cot 2x – cot 2x cot 3x – cot 3x cot x ...

Jul 13, 2018 · Formula of cot (3x) => cot3x = [3cotx - cot^3 (x)] / [1 - 3cot^2 (x)]. Explnation: cot is a short way to write 'cotangent'. This is the reciprocal of the trigonometric function 'tangent' or tan (x). Therefore, cot (x) can be simplified to 1/tan (x). Using trigonometric rules, an alternative way to write 1/tan (x) is cos (x)/sin (x)."