Question

Write the principal value of tan-1

(1)+cos-1

(-1/2)​

Answer 1

Answer:

Step-by-step explanation:

tan  

−1

(1)+cos  

−1

(−  

2

1

​

)

⇒  

4

π

​

+π−cos  

−1

(  

2

1

​

)

⇒  

4

π

​

+π−  

3

π

​

 

⇒  

12

3π+12π−4π

​

 

⇒  

12

11π

​

 

Therefore, principle value of tan  

−1

(1)+cos  

−1

(−  

2

1

​

) is  

12

11π

​

.