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<b>Description</b>
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At&#x00A0;&#x000D;each&#x00A0;&#x000D;transformation&#x00A0;&#x000D;step,&#x00A0;&#x000D;you&#x00A0;&#x000D;have&#x00A0;&#x000D;to&#x00A0;&#x000D;select&#x00A0;&#x000D;a&#x00A0;&#x000D;rule&#x00A0;&#x000D;that&#x00A0;&#x000D;grounds&#x00A0;&#x000D;this&#x00A0;&#x000D;step.&#x00A0;&#x000D;The&#x00A0;&#x000D;algorithm&#x00A0;&#x000D;trains&#x00A0;&#x000D;a&#x00A0;&#x000D;passive&#x00A0;&#x000D;skill&#x00A0;&#x000D;of&#x00A0;&#x000D;math&#x00A0;&#x000D;rules&#x00A0;&#x000D;application.&#x00A0;&#x000D;
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<b>Hyperbolic equations</b><br></br>
<b>Hyperbolic equations reducible to quadratic equations</b><br></br>
<b>Double angle</b><br></br>
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<b>Solve the equation</b>
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<math xmlns="http://www.w3.org/1998/Math/MathML">
<mrow>
<mrow>
<mrow><mrow><mo>&#x002D;&#x00A0;</mo><mi>3 </mi></mrow></mrow>
<mo>&#x00B7;</mo>
<mrow><msup><mi>sinh</mi>
<mrow>
<mrow><mrow><mi>2 </mi></mrow></mrow>
</mrow></msup>
<mfenced><mrow>
<mrow><mrow><mi>v</mi></mrow></mrow>
</mrow></mfenced></mrow>
<mo>-</mo>
<mrow><mrow><mi>2 </mi></mrow></mrow>
<mo>&#x00B7;</mo>
<mrow><msup><mi>cosh</mi>
<mrow>

</mrow></msup>
<mfenced><mrow>
<mrow><mrow><mi>2 </mi><mi>v</mi></mrow></mrow>
</mrow></mfenced></mrow>
<mo>+</mo>
<mrow><mrow><mi>3 </mi></mrow></mrow>
<mo>&#x00B7;</mo>
<mrow><msup><mi>sinh</mi>
<mrow>

</mrow></msup>
<mfenced><mrow>
<mrow><mrow><mi>v</mi></mrow></mrow>
</mrow></mfenced></mrow>
<mo>+</mo>
<mrow><mrow><mi>4 </mi></mrow></mrow>
<mo>=</mo>
<mrow><mrow><mi>0 </mi></mrow></mrow>
</mrow>
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<b>Methodical task:</b> 
Scheme "To relate the step with category 2"
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To relate the steps of solution to formulations substantiating the steps
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<p><b>Select the continuation</b></p>
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Formula of double angle (hyperbolic cosine): Cosine of double angle equals to squared cosine plus squared sine
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Two equations are called equivalent if their roots are equal and domains of definition coincide
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An equation is referred to as an algebraic expression containing the symbol of equality and an unknown
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