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Write the following in terms of a, b and c. (a) cos θ (b) tan θ (c) sin(90° - θ)
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7 partsStep-by-step solution
13 stepsPart 3
The stem and leaf diagram represents the marks out of 60.
The data points, in ascending order, are:
.
There are data points.
Part 3.1
How many learners wrote the test?
Count the total number of leaves in the stem and leaf diagram.
Number of leaves = .
Part 3.254
Calculate the range.
Identify the maximum and minimum values from the data.
Maximum value = 57.
Minimum value = 3.Calculate the range.
Part 3.331
Determine the mode.
Identify the value(s) that appear most frequently in the data set.
The value 31 appears three times, which is more than any other value.
Part 3.4
Determine the five number summary.
Identify the minimum and maximum values.
Minimum value = 3.
Maximum value = 57.Calculate the median ().
For (odd), the median is the value.
The value in the sorted list is 29.
Calculate the lower quartile ().
is at the position.
is the average of the and values: .
Calculate the upper quartile ().
is at the position.
is the average of the and values: .
State the five-number summary.
Part 4
From the right-angled triangle diagram:
- The side opposite to angle is .
- The side adjacent to angle is .
- The hypotenuse is .
Part 4.1
1 Write the following in terms of , , and .
Part a
Use the definition .
Part b
Use the definition .
Part c
Use the trigonometric identity .
Substitute the expression for from part (a).
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