Problem 39 of 7
Verify whether sin(theta)=2/3 and cos(theta)=2/3 can be values for the same angle.
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check sin^2+cos^2=1.
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Values must be tested against sin^2+cos^2=1 and range restrictions.
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Solution
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1. Square sine and cosine values.
2. Add the squares and compare with 1.
3. Check that each value is within [-1,1].
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Accepting values that fail range or identity conditions.