alleryIf sin(theta) + cos(theta) = sqrt(2), then sin(theta) is
A1/sqrt(2)
Bsqrt(2)/2
Csqrt(3)/2
D1/2
Answer & Solution
Correct answer: A. 1/sqrt(2)
1/sqrt(2) = sqrt(2)/2 actually! Both same value. Hmm ambiguous. Cleaner: solve.
**Square both sides:** 1 + 2 sin cos = 2
so 2 sin cos = 1, sin(2 theta) = 1, 2 theta = 90, theta = 45. sin(45) = 1/sqrt(2). Need to pick ONE form.
Option B = '1/sqrt(2)' = option C '(sqrt(2)/2)' as values.
BROKEN, need distinct options.
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