SOLUTION: Hi, please help me with this problem: What is the exact value of cos (sin inverse Sqrt(2) / 2) ? Thanks!

Question 409939: Hi, please help me with this problem:
What is the exact value of cos (sin inverse Sqrt(2) / 2) ?
Thanks!
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
What is the exact value of cos (sin inverse Sqrt(2) / 2) ?
..
The first thing to remember is that the inverse of a trig function is always equal to some angle. So, for the given sin inverse, it is asking the question:
What angle will make the sin function=sqrt(2)/2, and you know the sin of 45 deg is sqrt(2)/2. The answer to the problem , then, is cos 45 deg which also happens to be sqrt(2)/2.
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