Question

sin 45 degrees + cos 45 degrees

Answer 1

Hii frnd.

Sin 45=1/root 2
Cos 45=1/root 2
1/root2+1/root2=2/root 2
On multiplying root 2 on both numerator and denominator
root 2 will be the answer.

Hope it helped u.

Answer 2

Answer:

$\sin(45^\circ)+\cos(45^\circ)=\sqrt2$    

Step-by-step explanation:

To find : Solve expression $\sin(45^\circ)+\cos(45^\circ)$ ?

Solution :

We know the trigonometry function values from trigonometry ratio table,

$\sin(45^\circ)=\frac{\sqrt2}{2}$

$\cos(45^\circ)=\frac{\sqrt2}{2}$

Substitute the values in the expression, $\sin(45^\circ)+\cos(45^\circ)$

$\sin(45^\circ)+\cos(45^\circ)=\frac{\sqrt2}{2}+\frac{\sqrt2}{2}$

$\sin(45^\circ)+\cos(45^\circ)=\frac{\sqrt2+\sqrt2}{2}$

$\sin(45^\circ)+\cos(45^\circ)=\frac{2\sqrt2}{2}$

$\sin(45^\circ)+\cos(45^\circ)=\sqrt2$

Therefore, $\sin(45^\circ)+\cos(45^\circ)=\sqrt2$