Question on: JAMB Mathematics - 2009
Find the value of sin 45o - cos 30o
A
\(\frac{2 + \sqrt{6}}{4}\)
B
\(\frac{ \sqrt{2} + \sqrt{3}}{4}\)
C
\(\frac{ \sqrt{2} + \sqrt{3}}{6}\)
D
\(\frac{ \sqrt{2} - \sqrt{3}}{2}\)
Ask EduPadi AI for a detailed answer
Correct Option: D
sin 45o - cos 30o
(\frac{1}{\sqrt{2}}) - (\frac{\sqrt{3}}{2})
= (\frac{2 - \sqrt{2} \times \sqrt{3}}{2\sqrt{2}}))
= (\frac{2 - \sqrt{6} \times \sqrt{2}}{2\sqrt{2} \sqrt{2}})
= (\frac{2\sqrt{2} - \sqrt{12}}{4})
= (\frac{2\sqrt{2} - 2\sqrt{3}}{4})
= (\frac{2(\sqrt{2} - \sqrt{3})}{4})
= (\frac{\sqrt{2} - \sqrt{3}}{2})
Add your answer
Please share this, thanks!
No responses