Solve the trigonometric equation: 4 3 theta = theta for all possible values of theta.

May 10, 2026Mathematics

ScanSolve AI Answer

May 10, 2026

Answer

\cos \theta$

Morning rubangakeneakena — let's get this done.

Here are the solutions for the given trigonometric equations:

(i) $4 \cos^3 \theta = \cos \theta$ Step 1: Rearrange the equation to set it to zero. $4 \cos^3 \theta - \cos \theta = 0$ Step 2: Factor out $\cos \theta$ . $\cos \theta (4 \cos^2 \theta - 1) = 0$ Step 3: Set each factor equal to zero and solve for $\theta$ . Case 1: $\cos \theta = 0$ $\theta = \frac{\pi}{2} + n\pi$ Case 2:

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Morning rubangakeneakena — let's get this done. Here are the solutions for the given trigonometric equations: (i) 4 ^3 = Step 1: Rearrange the equation to set it to zero.

Asked on May 10, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 10, 2026

Morning rubangakeneakena — let's get this done. Here are the solutions for the given trigonometric equations: (i) 4 ^3 = Step 1: Rearrange the equation to set it to zero. 4 ^3 - = 0 Step 2: Factor out . (4 ^2 - 1) = 0 Step 3: Set each factor equal to zero and solve for . Case 1: = 0 = ()/(2) + n Case 2: