Question

evaluate sin45*+cos45*

Answer 1

Sin 45°=1/√2
cos 45°=1/√2

Sin 45 + cos 45=
1/√2+1/√2=
2/√2=
2√2/2=
√2

Answer 2

Answer:

sin45°+cos45°=$\sqrt{2}$

Explanation:

Value of sin45°+cos45°

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we know that,

i ) sin 45° = cos 45° = $\frac{1}{\sqrt{2}}$

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= $\frac{1}{\sqrt{2}}+\frac{1}{\sqrt{2}}$

= $\frac{2}{\sqrt{2}}$

/* Rationalising the denominator, we get */

= $\frac{\sqrt{2}\times \sqrt{2}}{\sqrt{2}}$

/*After cancellation,we get*/

= $\sqrt{2}$

Therefore,

sin45°+cos45°=$\sqrt{2}$

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