Question

Calculate the exact values of the following expression?

A=`sqrt`2 x sin`pi`/4 + `sqrt`3 x cos`pi`/6

Answer 1

A = 5/2

Explanation:

`A = sqrt2.x.sin (pi/4) + sqrt3.x.cos (pi/6)`
Trig table gives: `sin (pi/4) = sqrt2/2`, and `cos (pi/6) = sqrt3/2`
Finally,
`A = sqrt2(sqrt2/2) + sqrt3(sqrt3/2) = 2/2 + 3/2 = 5/2`