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WAEC Mathematics 2016 Paper
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© africaexams.com
Question : 19
Total: 49
If cos
θ
= x and sin 60
o
= x + 0.5 0
o
<
θ
< 90
o
, find, correct to the nearest degree, the value of
θ
32
o
40
o
60
o
69
o
Validate
Solution:
sin 60
o
= x + 0.5 0
o
(given)
0.8660 = x + 0.5
0.8660 - 0.5 = x
x = 0.3660
cos
θ
= x(given)
cos
θ
= 0.3660
Hence,
θ
= cos
-1
(0.3660)
= 68.53
o
= 69
o
(nearest degree)
© africaexams.com
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