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Graphs of two function $\text{f}(\text{x})=\text{sin}\text{ x}$ and $\text{(g)}\text{x}=\text{cos}\text{ x}$ is given below:

Based on the above information, answer the following questions.

1. In $(0, \pi)$, the curves $\text{f}(\text{x})=\text{sin}\text{ x}$ and $\text{g}\text{ (x)}=\text{cos}\text{ x}$ at $\text{x}=$
   1. $\frac{\pi}{2}$
   2. $\frac{\pi}{3}$
   3. $\frac{\pi}{4}$
   4. ${\pi}$
2. Value of $\int\limits_{0}^{\frac{\pi}{4}}\text{sin}\text{ x}\text{ dx}$ is.
   1. $1-\frac{1}{\sqrt{2}}$
   2. $1+\frac{1}{\sqrt{2}}$
   3. $2-\frac{1}{\sqrt{2}}$
   4. $2+\frac{1}{\sqrt{2}}$

3. Value of $\int\limits_\frac{\pi}{4}^{\frac{\pi}{2}}\text{cos}\text{ x}\text{ dx}$ is.
   1. $1+\frac{1}{\sqrt{2}}$
   2. $1-\frac{1}{\sqrt{2}}$
   3. $2-\sqrt{2}$
   4. $2+\sqrt{2}$
4. Value of $\int\limits_{0}^{\pi}\text{sin}\text{ x}\text{ dx}$ is.

1. 0
2. 1
3. 2
4. -2

5. Value of $\int\limits_{0}^\frac{\pi}{2}\text{sin}\text{ x}\text{ dx}$ is.

1. 0
2. 1
3. 3
4. 4