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Question
The value of (sin 45° + cos 45°)3 is ______.
Fill in the Blanks
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Solution
The value of (sin 45° + cos 45°)3 is `underlinebb(2sqrt(2))`.
Explanation:
`sin 45^circ = cos 45^circ = 1/sqrt(2)`.
So `sin 45^circ + cos 45^circ = 1/sqrt(2) + 1/sqrt(2) = sqrt(2)`.
Cubing gives `(sqrt(2))^3 = 2sqrt(2)`.
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