Answer :
By trigonometric identities, we can say
sin 45° = 1/√2
and cos 45° = 1/√2
Adding them, we get
sin 45° + cos 45° = 1/√2 + 1/√2
⇒ sin 45° + cos 45° = 2/√2 = √2
Thus, sin 45° + cos 45° = √2.
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