Question

Evaluate sec(sen^-1 √3/2 ) Assume that all the angles are in Quadrant I.

Answer 1

b. 2

Step-by-step explanation

The given expression is

`\sec( \sin^( - 1) ( ( √(3) )/(2) ) )`

Since we are in the first quadrant, this simplifies to

`\sec( 60 \degree)`

`= (1)/( \cos(60 \degree) )`

`= (1)/( (1)/(2) )`

This finally gives us:

`= 2`

The correct choice is B.