Question

Evaluate:

5sin² 45° − sec 60° cot² 30°.

Answer 1

We have, 5sin² 45° − sec 60° cot² 30°

= `[5 xx (1/sqrt2)^2] - (2 xx (sqrt3)^2)`

= `(5 xx 1/2) - (2 xx 3)`

= `5/2 - 6`

= `(5 - 12)/2`

= `(-7)/2`