# What Is Sin 3x Equal To?

## How do you solve sin3x 1?

To find the value of x in the equation sin3x = 1/2, set up two new equations: 3x = 30 + 360n and 150 + 360n.

Divide by three on both sides to get your answer: x = 10 + 120n degrees and 50 + 120n degrees.

In radians this would yield the answers x = pi/18 + (2pi/3)n and 5pi/18 + (2pi/3)n..

## What is the formula for sin 3x?

The prupose of this page is to prove the following formula: \sin 3x =4\sin x\sin(60^{\circ}-x)\sin(60^{\circ}+x).

## What does sin 3x mean?

sin 3x = sin (2x + x) = sin 2x* cos x + cos 2x*sin x. => sin (x + x)* cos x + cos (x +x)*sin x.

## Is sin3X the same as 3sinx?

It is basic thing that at x=nπ both LHS and RHS will become zero i.e. each term will also be zero. But leaving x = nπ, sin3X can almost almost equal to 3Sinx, making (sinx)^3 = 0. As a cubic function has downward concavity and sinx has upward concavity.

## What is the Antiderivative of sin 3x?

Therefore integral of sin 3x is (1/3) (-cos 3x) + C.

## How do you integrate a sin cube?

All you have to do is write the expression as \sin(x)⋅(\text{even power of }\sin), rewrite the even power using the formula \sin^2(x) = 1-\cos^2(x), and apply the substitution u = \cos(x) (i.e. du = -\sin(x)dx).

## What is cos4x?

hey friend the formula of cos4x is. = cos(2x)cos(2x) – sin(2x)sin(2x) = cos^2(2x) – sin^2(2x) = cos^2(2x) – (1 – cos^2(2x)) = 2cos^2(2x) – 1.

## What is trigonometry formula?

Basic Formulas By using a right-angled triangle as a reference, the trigonometric functions or identities are derived: sin θ = Opposite Side/Hypotenuse. cos θ = Adjacent Side/Hypotenuse. tan θ = Opposite Side/Adjacent Side. sec θ = Hypotenuse/Adjacent Side.

## What is formula of sin2x?

so that sin2x = 2 sin x cos x. And this is how our first double-angle formula, so called because we are doubling the angle (as in 2A).

## What is the integral of sin?

Integrals of trig functions can be found exactly as the reverse of derivatives of trig functions. The integral of sinx is −cosx+C and the integral of cosx is sinx+C.

## What is the period of sin 3 Theta?

1 Answer. Nghi N. So, the period of sin 3x is 2π3.