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.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

4 candies

step-by-step explanation:

7 x 28 = 196

200 - 196 = 4 candies remaining.