Hits: 310
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 […]
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 ; […]
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 […]
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 […]