SOLUTION: If x is an acute angle and sin 2x = a find sin x + cos x

Algebra ->  Test -> SOLUTION: If x is an acute angle and sin 2x = a find sin x + cos x      Log On


   

Question 44918: If x is an acute angle and sin 2x = a find sin x + cos x
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
If x is an acute angle and sin 2x = a find sin x + cos x
sin(2x)=2sinxcosx=a
sinxcosx=a/2
cosx=2/sinx
Therefore sinx + cosx = sinx+ 2/sinx
=(sinx)^2 + 2)/sinx
As with so much of trig your answer book answer may look
different than this.
Cheers,
Stan H.