60Upper Secondary Big Buttonhttp://nrich.maths.org/secondary-upperen 2012 http://nrich.maths.org/public/terms.phpStretching an IntegralWhat happens to areas under the graph of $\frac{1}{x}$ when they are stretched? <a href="https://undergroundmathematics.org/calculus-trig-log/stretching-an-integral"></a>http://nrich.maths.org/12912Wed, 01 Dec 1999 00:00:01 +0000Trigsy IntegralsWhat different ways can you find to calculate these integrals? <a href="https://undergroundmathematics.org/calculus-trig-log/trigsy-integrals"></a>http://nrich.maths.org/12911Wed, 01 Dec 1999 00:00:01 +0000Sine StretchingCan you find the gradient function of $\sin 3x$. How did you convince yourself? <a href="https://undergroundmathematics.org/calculus-trig-log/sine-stretching"></a>http://nrich.maths.org/12910Wed, 01 Dec 1999 00:00:01 +0000Slippery AreasCan you find the definite integral of a transformed function? <a href="https://undergroundmathematics.org/chain-rule/slippery-areas"></a>http://nrich.maths.org/12909Wed, 01 Dec 1999 00:00:01 +0000Can You Find... Asymptote EditionCan you work out the equation of the function from its graph? <a href="https://undergroundmathematics.org/polynomials/can-you-find-asymptote-edition"></a>http://nrich.maths.org/12825Wed, 01 Dec 1999 00:00:01 +0000Rotating DerivativesBy considering a point on a unit circle, can you use geometry to find the derivatives of $\sin x$ and $\cos x$? <a href="https://undergroundmathematics.org/calculus-trig-log/rotating-derivatives"></a>http://nrich.maths.org/12824Wed, 01 Dec 1999 00:00:01 +0000Slices of PiHow are $\sin x$, $\cos x$ and $\tan x$ related to each other? Can you make sense of the the 'slices'? <a href="https://undergroundmathematics.org/trigonometry-triangles-to-functions/slices-of-pi"></a>http://nrich.maths.org/12823Wed, 01 Dec 1999 00:00:01 +0000ParabellaCan you prove an algebraic statement using geometric reasoning? <a href="https://undergroundmathematics.org/quadratics/parabella"></a>http://nrich.maths.org/12822Wed, 01 Dec 1999 00:00:01 +0000Worth 1000 WordsWhich of the sketches matches the function given? <a href="https://undergroundmathematics.org/thinking-about-functions/worth-1000-words"></a>http://nrich.maths.org/12476Wed, 01 Dec 1999 00:00:01 +0000Muddled TrigCan you match all the different trig functions to their graphs? <a href="https://undergroundmathematics.org/trigonometry-triangles-to-functions/muddled-trig"></a>http://nrich.maths.org/12475Wed, 01 Dec 1999 00:00:01 +0000Translating or Not?Can you sketch the graphs of these two reciprocal functions? What are the links between them? <a href="https://undergroundmathematics.org/combining-functions/translating-or-not"></a>http://nrich.maths.org/12474Wed, 01 Dec 1999 00:00:01 +0000Function Builder 1What happens when you combine functions? Can you sketch the results? <a href="https://undergroundmathematics.org/combining-functions/function-builder-i"></a>http://nrich.maths.org/12473Wed, 01 Dec 1999 00:00:01 +0000Mixed BagA collection of intriguing questions involving logarithms.http://nrich.maths.org/12382Wed, 01 Dec 1999 00:00:01 +0000Trig TablesCan you fill in all the missing values and trig functions to make the tables complete? <a href="https://undergroundmathematics.org/trigonometry-triangles-to-functions/trig-tables"></a>http://nrich.maths.org/12381Wed, 01 Dec 1999 00:00:01 +0000ComposeCan you compose four functions to create the set of functions given? <a href="https://undergroundmathematics.org/combining-functions/compose"></a>http://nrich.maths.org/12380Wed, 01 Dec 1999 00:00:01 +0000Two-way CalculusCan you find functions with the desired properties to fill in the table? <a href="https://undergroundmathematics.org/calculus-meets-functions/two-way-calculus"></a>http://nrich.maths.org/12379Wed, 01 Dec 1999 00:00:01 +0000Underground Mathematics - Share Your SolutionsHere's how you can send in your solutions to these Underground Mathematics problems.http://nrich.maths.org/12349Wed, 01 Dec 1999 00:00:01 +0000$t$ for tanCan you find a geometric proof for some $\tan\theta$ trig identities?http://nrich.maths.org/12148Thu, 01 Jan 2015 00:00:01 +0000Proving Half-angle FormulaeCan you find a geometric proof of these half-angle trig identities?http://nrich.maths.org/12147Thu, 01 Jan 2015 00:00:01 +0000Inspecting IdentitiesUsing trig identities to help sketch graphs of functionshttp://nrich.maths.org/12146Thu, 01 Jan 2015 00:00:01 +0000Trig CountdownA game for one or more players in which you make a target value by building a trig expressionhttp://nrich.maths.org/12145Thu, 01 Jan 2015 00:00:01 +0000Inner EqualityCan you solve this inequalities challenge?http://nrich.maths.org/7105Tue, 01 Feb 2011 00:00:01 +0000Unit IntervalCan you prove our inequality holds for all values of x and y between 0 and 1?http://nrich.maths.org/7051Tue, 01 Feb 2011 00:00:01 +0000Classical MeansUse the diagram to investigate the classical Pythagorean means.http://nrich.maths.org/6593Tue, 01 Feb 2011 00:00:01 +0000Truth Tables and Electronic CircuitsInvestigate circuits and record your findings in this simple introduction to truth tables and logic.http://nrich.maths.org/6025Tue, 01 Feb 2011 00:00:01 +0000Circuit MakerInvestigate how logic gates work in circuits.http://nrich.maths.org/5974Tue, 01 Feb 2011 00:00:01 +0000Simple Counting MachineCan you set the logic gates so that the number of bulbs which are on is the same as the number of switches which are on?http://nrich.maths.org/5973Tue, 01 Feb 2011 00:00:01 +0000Adding MachineCan you set the logic gates so that this machine can decide how many bulbs have been switched on?http://nrich.maths.org/5931Tue, 01 Feb 2011 00:00:01 +0000In BetweenCan you find the solution to this algebraic inequality?http://nrich.maths.org/2056Tue, 01 Feb 2011 00:00:01 +0000