Question on: WAEC Mathematics - 2008
If tan x = 1, evaluate sin x + cos x, leaving your answer in the surd form
A
2\(\sqrt{2}\)
B
\(\frac{1}{2} \sqrt{2}\)
C
\(\sqrt{2}\)
D
2
Ask EduPadi AI for a detailed answer
Correct Option: C
tan x = 1; x = tan-1(10 = 45o
sin x + cos x
= sin 45o + cos 45o
= (\frac{\sqrt{2}}{2} + \frac{\sqrt{2}}{2})
= (\frac{\sqrt{2} + \sqrt{2}}{2})
= (\frac{2\sqrt{2}}{2})
= (\sqrt{2})
Add your answer
Please share this, thanks!
No responses