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Mathematics 141 thirteenth homework
due Wednesday, March 19, 2014
page four
46. Write down the values of the six
11.
Solve each offunctions
the following
trigonometric
of thetriangles
angle A:for the indicated quantities:
( sin A, cos A , etc.)
A
8
47. Suppose that tan A =
5
2
5
(a) Draw
400a right triangle
y showing the angle A
(a)and side lengths 2 and 5 in the correct(b)
positions.
(b) Use the Pythagoras theorem to find the
1
length of the last side of the triangle.
(It’s OK to leave this as a square root)
(c) Find the values of cos A and sin A.
!
48. A right
60° triangle has leg lengths a = 5 and b = 12.
3
(a) calculatexthe hypotenuse length, c.
(b) calculate the measure of the angle A in decimal degrees and DMS formats.
49. Solve for the lengths x and L:
L
(c)
45°
8
30°
x
50. Find the exact values of
(for example,
(a) sec 30
◦
√
2 is an exact value, but 1.414 is not)
(b) tan
3
π
6
(c) 2 sin 30◦ −sin 60◦