Trigonometry (Triangle Condition)
$\def\D{\displaystyle}$ Question (1): In $\Delta ABC$, if $\cot A+\cot B+\cot C=\sqrt 3$, then $\D…
$\def\D{\displaystyle}$ Question (1): In $\Delta ABC$, if $\cot A+\cot B+\cot C=\sqrt 3$, then $\D…
$\def\D{\displaystyle}\newcommand{\vcol}[2]{\begin{array}{|c|c|c|c|c|}\hline#1\\ \hline#2\\ \hline\…
$\def\D{\displaystyle}$ 1 (CIE 2012, s, paper 11, question 8) (a) Find the value of $\D x$ for wh…
$\def\D{\displaystyle}$ Example 1 Prove that $\D \sin^4x+\cos^4x=\frac{1}{4}(3+\cos 4x).$ $\…
$\def\D{\displaystyle}$ 1 (CIE 2012, s, paper 12, question 2) Using the substitution $\D u = 2^x,…
$\def\D{\displaystyle}$ 1 (CIE 2012, s, paper 12, question 9) Variables $\D N$ and $\D x$ are su…
$\def\D{\displaystyle}$ 1 (CIE 2012, s, paper 12, question 11) The point $\D P$ lies on the line…
1 (CIE 2012, s, paper 11, question 4) (a) Arrangements containing 5 different letters from the wo…
$\def\D{\displaystyle}$ 1 (CIE 2012, s, paper 21, question 4) (i) Find $\D \frac{d}{dx}(x^2\ln x)…
$\def\D{\displaystyle}$ 1 (CIE 2012, s, paper 11, question 11either) The diagram shows part of…