Hits: 310

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2004 | Oct-Nov | (P1-9709/01) | Q#4

Hits: 310   Question i.     Sketch and label, on the same diagram, the graphs of  and , for the interval . ii.       Hence state the number of solutions of the equation  in the interval . Solution i.   We sketch both graphs by considering multiple values of  within the given range . Now we can sketch both graphs. Blue […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2004 | May-Jun | (P1-9709/01) | Q#3

Hits: 368 Question      i.       Show that the equation  can be written as a quadratic equation in .    ii.       Hence, or otherwise, solve the equation in part (i) for . Solution i.   First we need to manipulate the given equation to write it in a single trigonometric ratio i.e. ; Dividing the entire equation by ; Using the relation ; […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2004 | Oct-Nov | (P1-9709/01) | Q#6

Hits: 330 Question The function  is defined for the domain .      i. Express  in the form , stating the values of  and .    ii. Hence find the values of  for which .   iii. State the range of . Solution i.   We have the function; We have the trigonometric identity; We can rewrite the identity as; Substituting the expression […]

# Past Papers’ Solutions | Cambridge International Examinations (CIE) | AS & A level | Mathematics 9709 | Pure Mathematics 1 (P1-9709/01) | Year 2004 | Oct-Nov | (P1-9709/01) | Q#3

Hits: 842 Question In the diagram, AC is an arc of a circle, centre O and radius 6 cm. The line BC is perpendicular to OC and OAB is a straight line. Angle radians. Find the area of the shaded region, giving your answer in terms of  and . Solution      i.   It is evident from […]