If cos \(\theta\) = x and sin 60o = x + 0.5 0o < \(\theta\)...

WAEC 2016

If cos \(\theta\) = x and sin 60^o = x + 0.5 0^o < \(\theta\) < 90^o, find, correct to the nearest degree, the value of \(\theta\)

A. 32^o
B. 40^o
C. 60^o
D. 69^o

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Correct Answer: Option D

Explanation

sin 60^o = x + 0.5 0^o(given)

0.8660 = x + 0.5

0.8660 - 0.5 = x

x = 0.3660

cos\(\theta\) = x(given)

cos\(\theta\) = 0.3660

Hence, \(\theta\) = cos^-1(0.3660)

= 68.53^o

= 69^o (nearest degree)

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If cos \(\theta\) = x and sin 60o = x + 0.5 0o < \(\theta\)...

Correct Answer: Option D

Explanation

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