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Len [333]
3 years ago
6

HELP!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
natulia [17]3 years ago
7 0
180= 56+2u+2u

180=56+4u

u= 31
kodGreya [7K]3 years ago
4 0

Answer:

31

Step-by-step explanation:

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Step-by-step explanation:

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Find the value of cos(a), if cos(a)^4 - sin(a)^4 = 1/8
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Step-by-step explanation:

Step 1: Given details are cos(a)^4 - sin(a)^4 = 1/8

Now, cos(a)^4 can also be written as (cos²a)² and sin(a)^4 can be written as (sin²a)²

⇒ (cos²a)² - (sin²a)² = 1/8

Step 2: Apply the formula for a² - b² = (a - b) (a + b). Here a = cos²a and b = sin²a

⇒  (cos²a)² - (sin²a)² = (cos²a - sin²a) (cos²a + sin²a) = 1/8

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⇒ cos²a - (1 - cos²a) = 1/8 since sin²a = 1 - cos²a

⇒ 2 cos²a - 1 = 1/8

⇒ 2 cos²a = 1 + 1/8 = 9/8

⇒ cos²a = 9/16

⇒ cos a = 3/4

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