National 5 Maths Trigonometry Problems Before starting problems, have a copy of the course Formula Sheet and scientific calulator at hand.
1.
Working with graphs of trigonometric functions. 1.1
Sketch the following graphs, stating clearly the amplitude and period in all cases for
a)
b)
c)
d)
1.2 a) b)
Sketch the following graphs in stated domain, , ,
c)
360
d) 1.3
,
720
State values for a,b for shown trigonmetric graphs,
a)
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National 5 Maths Trigonometry Problems 1.4 a) b) c) d)
Sketch the following graphs in stated domain;
1.5
State values for a,b,c for shown trigonmetric graphs, ;
, , , ,
a)
b) 1.6
Determine the minimum and maximum values of the following functions, for 360;
a) c)
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b) d)
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National 5 Maths Trigonometry Problems 1.7
For which value of
a)
in quoted domain is the following functions maximum; ,
b)
,
c)
,
d) 1.8
, A particular marker-point on a ferris wheel reaches a height h-metres above the ground in a time t-seconds from the start given by the formula;
a) b) c) d)
1.9
what is the height of the marker-point at the start, what is the height of the marker-point after 2 seconds, determine how long it takes from start for the the marker-point to reach its maximum height, determine how long it would take from start for the marker-point to first reach its minimum height?
Sketch the following tan graphs, for
a)
b)
1.10 Sketch the following graphs for the stated domain; a) b) c) d)
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