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N76 [4]
3 years ago
7

Find Tan A if Cos2A = 1/2

Mathematics
2 answers:
likoan [24]3 years ago
4 0

Answer:

tan A = ± 1/√3 or ± 0.58

Step-by-step explanation:

2 ways to solve this question.

1. cos 2A = 1/2       2A = 60° or 300° or 420° or ....

   A = 30° or 150° or 210° ....

  tan A = tan 30° or tan 150° or ... = ± 1/√3

2. cos 2A = 2 cos²A - 1        1/2 = 2 cos²A - 1     cos²A = 3/4

   cos 2A = 1 - 2 sin²A         1/2 = 1 - 2 sin²A       sin²A = 1/4

   tan²A = sin²a/cos²A = (1/4) / (3/4) = 1/3

   tan A = ± 1/√3 or ± 0.58

Tanya [424]3 years ago
3 0

Answer:

hiiiiiiiiiiiiiiiiiiiii

Step-by-step explanation:

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