Question

Express the product of cos 30°and 45° in simple simplest radical form

Answer 1

This means the multiplication of the cos of the particular angles


`cos(30^(o)) = ( √(3) )/(2) , cos(45^(o)) = ( √(2) )/(2)`

So, multiplying them together is


`= ( √(3) )/(2) *( √(2) )/(2) = ( √(6) )/(4)`

Answer 2

`cos30^0= ( √(3) )/(2) \ \ \ and\ \ \ cos45^0= ( √(2) )/(2)\\\\cos30^0\cdot cos45^0= ( √(3) )/(2)\cdot ( √(2) )/(2)= ( √(3) \cdot √(2) )/(2\cdot 2)=( √(6) )/(4)`