Turito Academy

Test Prep

Global form fields

f(x)= tan 4x + sec 4x<br />Period of tan 4x = <img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator straight pi over denominator open vertical bar 4 close vertical bar end fraction equals straight pi over 4" width="67" height="33" style="vertical-align:-14px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mi mathvariant=¨normal¨»§#960;«/mi»«mfenced open=¨|¨ close=¨|¨»«mn»4«/mn»«/mfenced»«/mfrac»«mo»=«/mo»«mfrac»«mi mathvariant=¨normal¨»§#960;«/mi»«mn»4«/mn»«/mfrac»«/math»'/><br />Period of sec 4x=<img src="data:image/png;base64,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" class="Wirisformula" alt="fraction numerator 2 straight pi over denominator open vertical bar 4 close vertical bar end fraction equals straight pi over 2" width="67" height="37" style="vertical-align:-14px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mrow»«mn»2«/mn»«mi mathvariant=¨normal¨»§#960;«/mi»«/mrow»«mfenced open=¨|¨ close=¨|¨»«mn»4«/mn»«/mfenced»«/mfrac»«mo»=«/mo»«mfrac»«mi mathvariant=¨normal¨»§#960;«/mi»«mn»2«/mn»«/mfrac»«/math»'/><br />So, period of f(x)=LCM of<img src="data:image/png;base64,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" class="Wirisformula" alt="straight pi over 4 comma straight pi over 2 equals straight pi over 2" width="82" height="31" style="vertical-align:-12px" role="math" data-mathml='«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfrac»«mi mathvariant=¨normal¨»§#960;«/mi»«mn»4«/mn»«/mfrac»«mo»,«/mo»«mfrac»«mi mathvariant=¨normal¨»§#960;«/mi»«mn»2«/mn»«/mfrac»«mo»=«/mo»«mfrac»«mi mathvariant=¨normal¨»§#960;«/mi»«mn»2«/mn»«/mfrac»«/math»'/>