Question

Trigonometric Ratio and Identities
Q.16
If A + B = 225°, then the value of
cot A
(1+cot A
)
Q.24
cot B )
(1+ cotBis​

Answer 1

Answer:

1/2

Step-by-step explanation:

Given A + B = 225

Cot (A + B) = cot 225

                   = cot (180 + 45)

                   = cot 45 = 1

Cot A cot B – 1 = cot A + cot B  

Cot A + cot B + 1 = cot A cot B-----------1

Now  cot A cot B / (1 + cot A) (1 + cot B)

= cot A cot B / 1 + cot B + cot A  + cot A . cot B

= cot A . cot B / cot A cot B + cot A. cot B using (1)

= cot A cot B / 2 cot A cot B

= 1/2