Find all the values of heta in the range 0 eq heta eq 2 au for which au au heta + au au 3 heta = au heta + au heta 2 heta.

Here's how to solve each part of the question: 8.(i) Find all the values of θ in the range 0 ≤ θ ≤ 2π for which sin θ + sin 3θ = cos θ + cos 2θ. Step 1: Apply sum-to-product identities to both sides of the equation. The sum-to-product identities are: sin A + sin B = 2sin((A+B)/(2))cos((A−B)/(2)); $cos A + cos B = 2cos(A+B2

Find all the values of heta in the range 0 eq heta eq 2 au for which au au heta + au au 3 heta = au heta + au heta 2 heta.

Here's how to solve each part of the question: 8.(i) Find all the values of θ in the range 0 ≤ θ ≤ 2π for which sin θ + sin 3θ = cos θ + cos 2θ. Step 1: Apply sum-to-product identities to both sides of the equation. The sum-to-product identities are: sin A + sin B = 2sin((A+B)/(2))cos((A−B)/(2)); $cos A + cos B = 2cos(A+B2

Solved: Find all the values of heta in the range 0 eq heta…

Here's how to solve each part of the question:

8.(i) Find all the values of $\theta$ in the range $0 \le \theta \le 2\pi$ for which $\sin \theta + \sin 3\theta = \cos \theta + \cos 2\theta$ .

Step 1: Apply sum-to-product identities to both sides of the equation.
The sum-to-product identities are:
$\sin A + \sin B = 2\sin\left(\frac{A+B}{2}\right)\cos\left(\frac{A-B}{2}\right)$
$\cos A + \cos B = 2\cos\left(\frac{A+B}{2

Find all the values of heta in the range 0 eq heta eq 2 au for which au au heta + au au 3 heta = au heta + au heta 2 heta.

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