# How do you find the exact value of ?  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 yis .

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 yis .

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 yis .

Answer: The value of is .

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