How do you find the general solutions for #cos (x/2)=sqrt2/2#?
2 Answers
Explanation:
There are a few different methods to use, here.
We can see that the argument of our function is going to require the half angle formula. We can analyze it conceptually or mechanically.
Conceptually:
We know that for certain values of cos that our output will be
Mechanically, Isolate
Square both side
Multiply both sides by 2
Subtract 1 from both sides to isolate
From here, we need to assess when
Cos(x) is equal to zero at
Checking our work.
and
Explanation:
Trig table and unit circle give 2 solutions for x/2 -->
1.
2.