Question

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

Answer 1

Answer:

7

Step-by-step explanation:

Using the exact values for

cos45° = $\frac{1}{\sqrt{2} }$ and tan60° = $\sqrt{3}$ , then

2(cos²45° + tan²60°)

= 2( ($\frac{1}{\sqrt{2} }$ )² + ($\sqrt{3}$ )² )

= 2( $\frac{1}{2}$ + 3 )  ← distribute

= 1 + 6

= 7