Solve 3sen(360-x) sen(180-x)

Evaluate

3 se n (360 - x) se n (180 - x)

Multiply the terms

3 s^{2} e n (360 - x) e n (180 - x)

Multiply the terms

More Steps

3 s^{2} e^{2} n (360 - x) n (180 - x)

Multiply the terms

3 s^{2} e^{2} n^{2} (360 - x) (180 - x)

Multiply the numbers

3 e^{2} s^{2} n^{2} (360 - x) (180 - x)

Multiply the terms

More Steps

(1080 e^{2} s^{2} n^{2} - 3 e^{2} s^{2} n^{2} x) (180 - x)

Apply the distributive property

1080 e^{2} s^{2} n^{2} \times 180 - 1080 e^{2} s^{2} n^{2} x - 3 e^{2} s^{2} n^{2} x \times 180 - (- 3 e^{2} s^{2} n^{2} x \times x)

Multiply the numbers

194400 e^{2} s^{2} n^{2} - 1080 e^{2} s^{2} n^{2} x - 3 e^{2} s^{2} n^{2} x \times 180 - (- 3 e^{2} s^{2} n^{2} x \times x)

Multiply the numbers

194400 e^{2} s^{2} n^{2} - 1080 e^{2} s^{2} n^{2} x - 540 e^{2} s^{2} n^{2} x - (- 3 e^{2} s^{2} n^{2} x \times x)

Multiply the terms

194400 e^{2} s^{2} n^{2} - 1080 e^{2} s^{2} n^{2} x - 540 e^{2} s^{2} n^{2} x - (- 3 e^{2} s^{2} n^{2} x^{2})

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

194400 e^{2} s^{2} n^{2} - 1080 e^{2} s^{2} n^{2} x - 540 e^{2} s^{2} n^{2} x + 3 e^{2} s^{2} n^{2} x^{2}

Solution

More Steps

194400 e^{2} s^{2} n^{2} - 1620 e^{2} s^{2} n^{2} x + 3 e^{2} s^{2} n^{2} x^{2}

Simplify the expression