Question

if p=-4,q=0,r=1 find the value of p+q+r-1​

Answer 1

Answer:

4+0+1-1=4

Step-by-step explanation:

Answer 2

Answer:

Since p,q>0, therefore pq>0,

tan  

−1

 

1+pq

p−q

​

=tan  

−1

p−tan  

−1

q

Since qr>−1  

tan  

−1

 

1+qr

q−r

​

=tan  

−1

q−tan  

−1

r

Since pr<−1 and r<0,

tan  

−1

 

1+pr

r−p

​

=π+tan  

−1

r−tan  

−1

p

On adding Eqs. (i), (ii) and (iii), we get  

tan  

−1

 

1+pq

p−q

​

+tan  

−1

 

1+qr

q−r

​

+tan  

−1

 

1+pr

r−p

​

=πSince p,q>0, therefore pq>0,

tan  

−1

 

1+pq

p−q

​

=tan  

−1

p−tan  

−1

q

Since qr>−1  

tan  

−1

 

1+qr

q−r

​

=tan  

−1

q−tan  

−1

r

Since pr<−1 and r<0,

tan  

−1

 

1+pr

r−p

​

=π+tan  

−1

r−tan  

−1

p

On adding Eqs. (i), (ii) and (iii), we get  

tan  

−1

 

1+pq

p−q

​

+tan  

−1

 

1+qr

q−r

​

+tan  

−1

 

1+pr

r−p

​

=π

Step-by-step explanation:

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