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

Question

asked Sep 6, 2021 94.8k views

1 Answer

Nakiesha · Answer 1 · 2021-09-11T23:42:10+0000

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