Question

. If cosec A = V3 , find the value of cot A+
Si. A
1 + cosA​

Answer 1

Answer:

if cosec A = √3

then sin A = 1/cosec A

=opposite/hypothesis

Sin A = 1/√3

Cos A = adjacent/hypothesis

we know hypothesis = √3

so by using Pythagoras theorem

let's take adjacent side as A

so,

(√3)^2 = (1)^2 + A^2

A^2 = 3-1

A^2=2

A=√2

so,

Cos A = √2/√3

Cot A = CosA/ SinA

= √2/√3÷1/√3

so,

Cot A = √2

Cot A + Sin A = √2 + 1/√3

= √2√3 +1/√3

So, Cot A+ Sin A = √2

1 + Cos A = 1+ √2/√3

= √3+√2/√3

= √2

So,

1 + CosA = √2

hope this helps you