The depth of water, d d\,d metres, at the entrance to a harbour is given by the formula: d=5−4sin(30t)d = 5 - 4\sin(30t)d=5−4sin(30t), where t t\,t is the time in hours after midnight on one day.
On the axes below, draw the graph of d d\,d against t t\,t for 0≤t≤120 \leq t \leq 120≤t≤12
Find the two values of ttt, where 0≤t≤240 \leq t \leq 240≤t≤24, when the depth is least.
Trigonometric and Exponential Graphs Questions
Practise OCR GCSE Maths Trigonometric and Exponential Graphs with exam-style questions for Foundation and Higher tier. 33 questions, matched to the OCR GCSE Maths (J560) specification and written in the written papers style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.