Show That 12 cos 30° + 2 tan 60° Can Be Written In The Form √k Where k Is An Integer

Question

Jorge Schroeder

Mathematics

9 December, 22:06

Show That 12 cos 30° + 2 tan 60° Can Be Written In The Form √k Where k Is An Integer

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Answers (1)

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Tripp David · Answer 1

square root of 192

Step-by-step explanation:

12 cos 30 degrees + 2 tan 60 degrees

= 12 * (root 3 / 2) + 2 * root 3 [as cos 30 = root 3/2 and tan 60 = root 3]

=6 root 3 + 2 root 3

= 8 root 3

= square root of 64*3

=square root of 192

= square root of k [ where k = 192 = integer]