Solve the trigonometric equations: i) 4 3 theta = theta

May 10, 2026Mathematics

ScanSolve AI Answer

May 10, 2026

Answer

\cos \theta$

Morning Bessiekessie — let's get this done.

Here are the solutions to the trigonometric equations:

i) $4 \cos^3 \theta = \cos \theta$ Step 1: Rearrange the equation and factor out $\cos \theta$ . $4 \cos^3 \theta - \cos \theta = 0$ $\cos \theta (4 \cos^2 \theta - 1) = 0$ Step 2: Set each factor to zero and solve for $\cos \theta$ . $\cos \theta = 0 \quad or \quad 4 \cos^2 \theta - 1 = 0$ $4 \cos^2 \theta = 1$

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Morning Bessiekessie — let's get this done. Here are the solutions to the trigonometric equations: i) 4 ^3 = Step 1: Rearrange the equation and factor out .

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 Bessiekessie — let's get this done. Here are the solutions to the trigonometric equations: i) 4 ^3 = Step 1: Rearrange the equation and factor out . 4 ^3 - = 0 (4 ^2 - 1) = 0 Step 2: Set each factor to zero and solve for . = 0 or 4 ^2 - 1 = 0 4 ^2 = 1 \