Question

if tan ( A/2) = 1 under root 3. find the value of cos A

Answer 1

tan =sin /cos
1 =sin and root 3 = cos

Answer 2

Given,

Tan (A/2) = 1 under root 3

To find,

The value of cos A.

Solution,

We can simply solve this mathematical problem using the following process:

Mathematically,

Tan (30°) = 1/√3

Cos 60° = 1/2

{Statement-1}

Now, according to the question;

Tan (A/2) = 1 under root 3

=> Tan (A/2) = 1/√3

=> Tan (A/2) = Tan (30°)

=> A/2 = 30°

{according to statement-1}

=> A = 60°

Now,

Cos A = Cos 60° = 1/2

{according to statement-1}

Hence, the value of cos A is equal to 1/2.