Question

Evalute tan ² 30 Sin 30 + Cos 60 Sin ² 90 tan ²60 - 2tan 45 Cos ²0 Sin 90​

Answer 1

tan ² 30 Sin 30 + Cos 60 Sin ² 90 tan ²60 - 2tan 45 Cos ²0 Sin 90

`= { ( (1)/( √(3) ) ) }^(2) * (1)/(2) + (1)/(2) * {1}^(2) * {( √(3) ) }^(2) - 2 * 1 * {1}^(2) * 1`

`= (1)/(3) * (1)/(2) + (1)/(2) * 1 * 3 - 2 * 1 * 1 * 1`

`= (1)/(6) + (3)/(2) - 2`

`= (1 +9 - 12)/(6)`

`= - (2)/(6)`

`= - (1)/(3)`