Problem 107 of 7
Determine whether trig values sin theta=sqrt(2)/2, cos theta=sqrt(2)/2 are possible.
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test identity and range restrictions.
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Values must satisfy both range and Pythagorean identity conditions.
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Solution
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1. Check that each value is between -1 and 1.
2. Compute the sum of squares.
3. Classify possible only if the sum is 1.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Checking only signs while ignoring identity and range.