Question

The value of 2(cos square 45 + tan square 60) is

Answer 1

7

Explanation:

Using the exact values for

cos45° =
`(1)/(√(2) )` and tan60° =
`√(3)` , then

2(cos²45° + tan²60°)

= 2( (
`(1)/(√(2) )` )² + (
`√(3)` )² )

= 2(
`(1)/(2)` + 3 ) ← distribute

= 1 + 6

= 7