Given that and , find
(a) ; (b) . [6 marks]
(a) Use the substitution to find .
(b) Hence find the value of , expressing your answer in the form of arctan , where . [7 marks]
(a) Using the substitution show that
(b) Hence find the value of . [7 marks]
(a) Show that for .
(b) Hence find . [5 marks]
Show that .
Find the real number for which .