Use euler's formula to derive the identity. (note that if a, b, c, d are real numbers, a + bi = c + di means that a = c and b = d. simplify your answer completely.) sin(2θ) = 2 sin(θ) cos(θ) using euler's formula, we have ei(2θ) = + i sin(2θ). on the other hand, ei(2θ) = (eiθ)2 = + i sin(θ) 2 = (cos2(θ) − sin2(θ)) + i sin(θ) . equating correct: your answer is correct. parts, we find sin(2θ) = 2 sin(θ) cos(θ).

Answer with Step-by-step explanation:

We have to prove that

by using Euler's formula

Euler's formula :

By using Euler's identity, we get

Comparing imaginary part on both sides

Then, we get

Hence, proved.

step-by-step explanation:

in the absence of parentheses, i will have to make some assumptions:   i interpret your (3x+5/y^6)(4y^3/5)​ to mean:

3x + 5     4y^(3/5)       (3x + 5)(4)

* =

    y^6             1               y^(6-3/5)

if this is not what you expected, repost your question using parentheses to indicate whether you meant

4y^3

    or   4y^(3/5)

    5

associative property hopes this ! : )

step-by-step explanation: