Amin

**Solution:**

**Concept:** The function is defined as the inverse of the function , which is written as .

The trigonometric function is a continuous function for the range of *x *from to . The table below shows the value of function corresponding to the variable *x*.

**Calculation:**

**Step:1 **Let the value of be *y* which is then written as .

**Step:2 **Take sine of the function on both the sides and solve to find the value of *y*.

**Step:3 **From the Table 1 shown above, it can be seen that the tan function gives value of at .

**Step:4 **The angle in the radian form can be written as .

Therefore, the value of *y*is .

** **

**Answer:** The value of is .

** **

**Similar Problems:**

**Problem 1:**How do you evaluate ?

**Solution:**

**Step:1 **Let the value of be *y* which is then written as .

**Step:2 **Take sine of the function on both the sides and solve to find the value of *y*.

**Step:3 **From the Table 1 shown above, it can be seen that the tan function gives value of at .

**Step:4 **The angle in the radian form can be written as .

Therefore, the value of *y*is .

**Answer:** The value of is .

** **

**Problem 2:** How do you evaluate ?

**Solution:**

**Step:1 **Let the value of be *y* which is then written as .

Take sine of the function on both the sides and solve to find the value of *y*.

**Step:2 **From the Table 1 shown above, it can be seen that the tan function gives value of at .

**Step:3 **The angle in the radian form can be written as .

Therefore, the value of *y*is .

**Answer:** The value of is.

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