@?maths

2021-01-13 What’s another way of thinking about $a^{\frac{3}{2}}$?? $$ a\sqrt{a} $$ Backlinks [[Maths - Syllabus]]S Metadata date: 2020-12-07 15:03 tags: - '@?public' - '@?maths' title: Maths - Indicies

What does CAST stand for?? Cosine All Sine Tan What does CAST tell you?? When the values of trig functions are positive or negative. What should CAST actually be called?? ASTC What region of CAST are acute angles in?? A/All. What region of CAST are obtuse angles in?? S/Sin. What region of CAST are small reflex angles in?? T/Tan. What region of CAST are large reflex angles in?? C/Cos. What is the inequality for an acute angle?

How could you rewrite the hypotenuse in terms of $\cos$ and $\sin$?? $$ \frac{\sin \theta}{\cos \theta} $$ Because of Pythagoras, what could you write?? $$ \sin^2\theta + \cos^2\theta = 1 $$ How could you simplify $7(1 - \cos^2\theta)$?? $$ 7\sin^2\theta $$ How could you rewrite $(\cos^4\theta - \sin^4\theta)$ as the difference of two squares?? $$ (\cos^2\theta - \sin^2\theta)(\cos^2\theta + \sin^2\theta) $$ How could you simplify $(\cos^2\theta - \sin^2\theta)(\cos^2\theta + \sin^2\theta)$?? $$ (\cos^2\theta - \sin^2\theta) $$

See also: [[Further Maths - Trigonometry Values]]S What’s the easiest way to answer a question about mutliple trigonometry solutions?? Draw an accurate graph. After how many degrees does $\sin(\theta)$ repeat?? $$ 360^{\circ} $$ After how many degrees does $\cos(\theta)$ repeat?? $$ 360^{\circ} $$ After how many degrees does $\tan(\theta)$ repeat?? $$ 180^{\circ} $$ When drawing a $\tan$ graph, what should you sketch first?? The asymptotes. Where are the asymptotes on a $\tan$ graph, in degrees?

What is the $a^2$ form of the cosine rule?? $$ a^2 = b^2 + c^2 - 2bc\cos(A) $$ What is the $\cos(A)$ form of the cosine rule?? $$ \cos(A) = \frac{b^2 + c^2 - a^2}{2bc} $$ When can you use the cosine rule for working out the length of a side?? When you have SAS. When can you use to cosine rule for working out an angle?? When you have only lengths. What is the initial setup for the cosine rule?

Visualise corresponding angles?? Angles in this layout are called what?? Corresponding angles. What is special about corresponding angles?? They are equal. Visualise alternating angles?? What shape do alternating angles make?? Z Angles in this layout are called what?? Alternating angles. What is special about alternating angles?? They are equal. Visualise vertically opposite angles?? Angles in this layout are called what?? Alternating angles. Angles that add up to $90^{\circ}$ are called what?? Complementary angles. Angles that add up to $180^{\circ}$ are called what?

What is a bearing?? An angle measured clockwise from the north direction. In , visualise the bearing of A from B?? What must you remember when giving a bearing as an answer?? They are always 3 digits. How can you flip the direction of a bearing?? Add or subtract $180^{\circ}$. Backlinks [[Maths - Syllabus]]S Metadata date: 2020-11-18 10:04 tags: - '@?maths' - '@?school' - '@?year-1' - '@?public' title: Maths - Bearings

What is the sine-on-top form of the sine rule?? $$ \frac{\sin(A)}{a} = \frac{\sin(B)}{b} + \frac{\sin(C)}{c} $$ What is the sine-on-bottom form of the sine rule?? $$ \frac{a}{\sin(A)} = \frac{b}{\sin(B)} + \frac{c}{\sin(C)} $$ Where is angle $A$ in relation to the side $a$?? Opposite. Where is the side $c$ in relation to the angle $C$?? Opposite. How do you draw something like “quadrilateral $ABCD$”?? Draw the quadrilateral and label the sides moving clockwise. Why can you sometimes draw two different triangles when using the sine rule?

See also: [[Stats - Median, Quartiles and Percentiles]]S What goes on the $x$-axis on a cumulative frequency diagram?? The variable being measured. What does on the $y$-axis on a cumulative frequency diagram?? Cumulative frequency. What is the purpose of a cumulative frequency diagram?? It allows you to find estimates for medians, quartiles and percentiles. Drawing a cumulative frequency diagram is like what other process in stats?? Linear interpolation. When plotting a cumulative frequency diagram for grouped data, which class boundary should you use for the point on the $x$-axis?

Why is it better to shade what you DON’T want when finding a region?? Because the bit you want will be clear at the end. When is a vertex of a region included?? If both intersecting lines are included by the region. Backlinks [[Maths - Syllabus]]S [[Maths - Inequalities]]S Metadata date: 2020-11-11 17:51 tags: - '@?year-1' - '@?public' - '@?school' - '@?maths' title: Maths - Regions

See also [[Maths - Set Notation for Inequalities]]S , [[Maths - Regions]]S . What affect does multiplying or dividing an inequality by a positive number have on the symbol?? The symbol is unchanged. What affect does multiplying or dividing an inequality by a negative number have on the symbol?? The symbol flips, so $> \to <$ and vice versa. If you have something such as $\frac{6}{x} > 2$, what should you multiply both sides by?? $$ x^2 $$

What is an outlier?? An extreme value. What is an outlier which is not correct called?? An anomaly. What is the process of removing anomalies called?? Cleaning the data. What does $\ll$ mean?? Much less than. What does $\gg$ mean?? Much greater than. What is the typical definition of an outlier?? Any value that is over $1.5$ the interquartile range away from the upper or lower quartile. Should you add an outlier to a box plot?