The height of the seat above ground after t minutes can be modelled by the function . Find the value of b and of c . [6] Hence find the value of t the first time the seat is above the ground. [3] 8. Consider the following circle with centre O and radius r . The points P, R and Q are on the circumference, , for . Use the cosine rule to show that . [4] Let l be the length of the arc PRQ . Given that , find the value of . [5] Consider the function , for . [4] (i) Sketch the graph of f . (ii) Write down the root of . Use the graph of f to find the values of for which . [3] 9. Consider the triangle ABC, where AB =10 , BC = 7 and = . Find the two possible values of . [4] Hence, find , given that it is acute. [2]
The height of the seat above ground after t minutes can be modelled by the function . Find the value of b and of c . [6] Hence find the value of t the first time the seat is above the ground. [3] 8. Consider the following circle with centre O and radius r . The points P, R and Q are on the circumference, , for . Use the cosine rule to show that . [4] Let l be the length of the arc PRQ . Given that , find the value of . [5] Consider the function , for . [4] (i) Sketch the graph of f . (ii) Write down the root of . Use the graph of f to find the values of for which . [3] 9. Consider the triangle ABC, where AB =10 , BC = 7 and = . Find the two possible values of . [4] Hence, find , given that it is acute. [2]
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