Trig equations
.
1
Solve the equation 5tanx° - 3 = 4 0° < x < 360°
3 Marks
Show Answer
54.5
234.5
2
Solve the equation 5cosx° + 3 = 1 0° < x < 360°
3 Marks
Show Answer
113.65
246.35
3
Part of the graph of y =4sinx° - 1 is shown
Calculate the x coordinates of the ppints where the graph cuts the x-axis
4 Marks
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14.5
165.5
4
Solve the equation 7sinx° + 5 = 2 0° < x < 360°
3 Marks
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205.4
334.6
5
A big wheel is shown.
The height of a carriage h, after t seconds is given by h(t) = 15 + 17cos t
a Determine the height of the carriage after 20s.
1 Marks
b Determine the 2 times it is at a height of 20 metres.
3 Marks
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a h = 30.97m
b t = 72.9s and 287.1s
6
The graph of y = 3cos x° + 2 and the graph of y =3 are shown
Calculate the x-coordinates of the points where the lines intersect
3 Marks
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70.5
289.5
7
Solve the equation 3cosx° + 6 = 4 0° < x < 360°
3 Marks
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131.8
228.2
8
Solve the equation 8cosx° - 5 = 2 0° < x < 360°
3 Marks
Show Answer
29
331
9
Solve the equation 3sinx° + 4 = 2 0° < x < 360°
3 Marks
Show Answer
221.8
318.2
10
Solve the equation 3tanx° - 7 = 1 0° < x < 360°
3 Marks
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69.4
249.4
11
Solve the equation 5sinx° + 3 = 1 0° < x < 360°
3 Marks
Show Answer
203.6
336.4
12
Solve the equation 4cosx° + 5 = 2 0° < x < 360°
3 Marks
Show Answer
138.6
221.4