How do you find the exact value of?

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Answer


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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