Page 177 - Mathematics_Form_Two

Trigonometry

LM 6. Evaluate each of the following
sin30° =
LP expressions:

Thus, 1 = 10 cm . (a) sin 30º + cos 60º
2 c 2

2
c = 2 10cm× = 20cm (b) (sin 60º) cos 60º
FOR ONLINE READING ONLY
Therefore, c = 20cm
(c) sin 45°+ 2cos60°
Exercise 8�2 7. Find the value of x in the following
1. Find the exact value of each of the figure. Mathematics for Secondary Schools

following expressions:
(a) 3 tan 60 0
60º
(b) 2 cos45°+cos0°)
(
(
(c) 2 sin30°+cos0°)

(d) 3 cos 30º – 2tan 45º
0
0
2 tan 45
cos30 −
3
1
2. If sin x = , find the following:
2
(a) The value of .x 8. The diagonal of a rectangular plot of
(b) tan x, given that x is an acute land is 4 m long and makes an angle

angle. of 30° with its length. Find:
3. A ladder leans against a vertical wall (a) The length and width of the
and makes an angle 60º with the wall. rectangular plot.
If the highest point of the ladder is (b) The length of a wire required to
4 m from the ground, find the length enclose the plot.
of the ladder. 9. The roof of a godown is placed on
top of the walls 7 m high as shown
4. Without using a calculator, simplify in the following figure.
each of the following:
(a) cos 45º sin 45º
(b) sin 60º (tan 30º – cos 30º)
5. Find the value of each of the following:

sin 60º
(a)
cos 60º
sin 30º
(b)
cos 30º

171
Student's Book Form Two

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MATHEMATIC F2 v5.indd 171