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<b>Description</b>
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Each&#x00A0;&#x000D;solution&#x00A0;&#x000D;step&#x00A0;&#x000D;is&#x00A0;&#x000D;provided&#x00A0;&#x000D;with&#x00A0;&#x000D;its&#x00A0;&#x000D;objective,&#x00A0;&#x000D;grounding&#x00A0;&#x000D;definition,&#x00A0;&#x000D;rule&#x00A0;&#x000D;and&#x00A0;&#x000D;formulae&#x00A0;&#x000D;or&#x00A0;&#x000D;theorem.&#x00A0;&#x000D;Some&#x00A0;&#x000D;steps&#x00A0;&#x000D;are&#x00A0;&#x000D;expanded&#x00A0;&#x000D;on&#x00A0;&#x000D;nested&#x00A0;&#x000D;levels.&#x00A0;&#x000D;Most&#x00A0;&#x000D;theorems&#x00A0;&#x000D;are&#x00A0;&#x000D;proved&#x00A0;&#x000D;step&#x00A0;&#x000D;by&#x00A0;&#x000D;step.&#x00A0;&#x000D;This&#x00A0;&#x000D;algorithm&#x00A0;&#x000D;provides&#x00A0;&#x000D;learners&#x00A0;&#x000D;with&#x00A0;&#x000D;complete&#x00A0;&#x000D;theoretical&#x00A0;&#x000D;background&#x00A0;&#x000D;for&#x00A0;&#x000D;the&#x00A0;&#x000D;studied&#x00A0;&#x000D;solution.&#x00A0;&#x000D;
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<a name="pont0">
<b>Solve the equation</b>
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<math xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mrow>
<mrow><msup><mi>cos</mi>
<mrow>
<mrow><mrow><mi>4 </mi></mrow></mrow>
</mrow></msup>
<mfenced><mrow>
<mrow><mrow><mi>s</mi></mrow></mrow>
</mrow></mfenced></mrow>
<mo>+</mo>
<mrow><msup><mi>sin</mi>
<mrow>
<mrow><mrow><mi>4 </mi></mrow></mrow>
</mrow></msup>
<mfenced><mrow>
<mrow><mrow><mi>s</mi></mrow></mrow>
</mrow></mfenced></mrow>
<mo>=</mo>
<mrow><mrow><mi>3 </mi></mrow></mrow>
<mo>&#x00B7;</mo>
<mrow><msup><mi>sin</mi>
<mrow>

</mrow></msup>
<mfenced><mrow>
<mrow><mrow><mi>4 </mi><mi>s</mi></mrow></mrow>
</mrow></mfenced></mrow>
<mo>+</mo>
<mrow><mrow><mi>2 </mi></mrow></mrow>
<mo>&#x00B7;</mo>
<mrow><msup><mi>cos</mi>
<mrow>

</mrow></msup>
<mfenced><mrow>
<mrow><mrow><mi>4 </mi><mi>s</mi></mrow></mrow>
</mrow></mfenced></mrow>
</mrow>
</mrow>
</math>
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<p><b>Objective of the step:</b></p>
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<td>
To solve an equation means to find all its roots or to prove that there is none
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<p><b>Formulation:</b></p>
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<td>
An equation is referred to as an algebraic expression containing the symbol of equality and an unknown
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<p><b>Definition:</b></p>
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<td>
A root of equation is referred to as a value of the unknown converting the equation into identity
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<p><b>Formula:</b></p>
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<td width="95%">
<math xmlns="http://www.w3.org/1998/Math/MathML"> <semantics>  <mrow>   <mi>f</mi><mo stretchy='false'>(</mo><mi>x</mi><mo stretchy='false'>)</mo><mo>=</mo><mn>0</mn><mtext>&#x2009;</mtext><mo>&#x2203;</mo><mtext>&#x2009;</mtext><mi>&#x03A9;</mi><mo>&#x2282;</mo><mi>R</mi><mtext>&#x2009;</mtext><mo>:</mo><mrow><mo>{</mo> <mtable columnalign='left'>    <mtr>     <mtd>      <mo>&#x2200;</mo><mi>&#x03BB;</mi><mo>&#x2208;</mo><mi>&#x03A9;</mi><mtext>&#x2009;</mtext><mi>f</mi><mo stretchy='false'>(</mo><mi>&#x03BB;</mi><mo stretchy='false'>)</mo><mo>&#x2261;</mo><mn>0</mn>     </mtd>    </mtr>    <mtr>     <mtd>      <mo>&#x2200;</mo><mi>&#x03BB;</mi><mo>&#x2209;</mo><mi>&#x03A9;</mi><mtext>&#x2009;</mtext><mi>f</mi><mo stretchy='false'>(</mo><mi>&#x03BB;</mi><mo stretchy='false'>)</mo><mo>&#x2260;</mo><mn>0</mn>     </mtd>    </mtr>   </mtable>    </mrow><mtext>&#x2003;</mtext><mo>&#x21D2;</mo><mi>x</mi><mo>&#x2208;</mo><mi>&#x03A9;</mi>  </mrow> </semantics></math>
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