Hits: 165

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2009 | Oct-Nov | (P2-9709/22) | Q#6

Hits: 165 Question     i.       Express  in the form , where  and , stating the  exact value of R and and giving the value of  correct to 2 decimal places.    ii.       Hence solve the equation Giving all solutions in the interval . Solution      i.  We are given the expression; We are […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2009 | Oct-Nov | (P2-9709/21) | Q#5

Hits: 77 Question     i.       Express  in terms of .    ii.       Hence find the exact value of . Solution      i.   We are given that  and we are required to express it in terms of . Let us start from . We can write  as; We have the trigonometric identity;    […]

Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 2 (P2-9709/02) | Year 2009 | May-Jun | (P2-9709/02) | Q#5

Hits: 142   Question Solve the equation sec x=4 – 2 tan2 x, giving all solutions in the interval . Solution We are required to solve the equation; Since , therefore, we can write . It is evident that it is a quadratic equation in . Let , then we can write; Now we have […]