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kumpel [21]
3 years ago
8

Plez the answer the subject is the double angle and half angle formula

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
8 0

Answer:

cos 2x = (√7) / 4

Step-by-step explanation:

sin x - cos x = 1/2

(sin x - cos x)² = (1/2)²

sin²x - 2 sin x cos x + cos² x = 1/4

1 - 2 sinx cosx = 1/4

2 sinx cosx = 3/4

sin 2x = 2 sinx cosx = 3/4

sin² 2x = 9/16

cos² 2x = 1 - sin² 2x = 1 - 9/16 = 7/16

cos 2x = (√7) / 4

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