Q1 of 46 Page 284

Evaluate the following.

A. sin 45° + cos 45°

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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