Utilize expanding using a sum/differences formulas calculator tool is the best and most convenient tool and gives the answer in a fraction of seconds. You must provide the input in the input field and click on the calculate button for the instant results.

**Simplify the Trig Equation using Sum/Differences Formulas Calculator: **Need to simplify the trig equation using sum/differences in a blink of an eye. Then use our expanding using sum/differences calculator tool for that. And also learn the process of how to simplify the trig equations using the sum/differences formulas manually and in an easy way along with some solved examples.

To help you in solving the trig equations using sum/difference formulas, we are providing you step-by-step process below.

- First, write down the equation that was given in the problem.
- Then, apply the formula of sum/differences in the given equation.
- After simplifying it we get the answer.

**Examples:**

**Question 1: **Simplify the equation, sin 20°cos 40° + cos 20°sin 40°

**Solution:**

Given the trig equation,

sin 20°cos 40° + cos 20°sin 40°

Now, apply the sum formula,

**sin(x + y) = sin(x)cos(y) + cos(x)sin(y)**

As per the formula,

sin 20°cos 40° + cos 20°sin 40°

= sin(20°+ 40°)

= sin(60°)

= √3 /2

Therefore, sin 20°cos 40° + cos 20°sin 40° = √3 /2 .

**Question 2: **Simplify the equation, sin 30°cos 50° - cos 30°sin 50°

**Solution:**

Given the trig equation,

sin 30°cos 50° - cos 30°sin 50°

Now, apply the difference formula,

**sin(x - y) = sin(x)cos(y) - cos(x)sin(y)**

As per the formula,

sin 30°cos 50° - cos 30°sin 50°

= sin(30°- 50°)

= sin(-20°)

= -0.015

Therefore, sin 30°cos 50° - cos 30°sin 50° = -0.015.

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**1. What are sum/difference formulas of sine?**

sin(x + y) = sin(x)cos(y) + cos(x)sin(y).

sin(x - y) = sin(x)cos(y) - cos(x)sin(y).

**2. How do you simplify an equation?**

We simplify an equation by expanding the brackets and simplifying the resulting expression by collecting the likely terms.

**3. How to use simplify using a sum/difference calculator?**

For that, you need to give the inputs in the input fields and click on the calculate button so that get the answer instantaneously.

**4. What are the steps used to simplify the trig equation using sum/difference formulas?**

- First, write down the equation that was given in the problem.
- Then, apply the formula of sum/differences in the given equation.
- After simplifying it we get the answer.