Question

find the value of: cos² 60° + sec² 30° + tan² 45°

Answer 1

cos²  60° + sec² 30° + tan² 45° = `(1/2)^2 + (2/sqrt3)^2 + 1^2`

= `(1)/(4) + (4)/(3) + 1`

= `( 3 + 16 + 12)/(12)`

= `(31)/(12)`

= `2(7)/(12)`