94.8k views
5 votes
The value of 2(cos square 45 + tan square 60) is

User Jake Marsh
by
5.8k points

1 Answer

5 votes

Answer:

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

User Nakiesha
by
5.8k points