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DanielleElmas [232]
2 years ago
5

Solve the value of sin²45°+cos²45°​

Mathematics
1 answer:
Ulleksa [173]2 years ago
8 0

Answer:

1

Step-by-step explanation:

sin²x = (sinx)²

cos²x = (cosx)²

Step 1: Define

sin²45° + cos²45°

Step 2: Rewrite

(sin45°)² + (cos45°)²

Step 3: Evaluate

sin45° = √2/2

cos45° = √2/2

(√2/2)² + (√2/2)²

1/2 + 1/2

1

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Are these ratios equivalent?
Debora [2.8K]
<h3>Answer:  Yes</h3>

========================================================

Explanation

The ratio 8:10 simplifies to 4:5 when you divide both parts by 2.

The ratio 16:20 simplifies to 4:5 when you divide both parts by 4

Therefore the two ratios 8:10 and 16:20 are both equal 4:5, so they are equal to one another.

------------

Put another way,

(8 large)/(10 small) = (16 large)/(20 small)

8/10 = 16/20

8*20 = 10*16 ... cross multiply

160 = 160

We get a true equation, so the first equation is true as well.

This shows the ratios are equivalent.

-------------

Or you could have...

(8 large)/(16 large) = (10 small)/(20 small)

8/16 = 10/20

8*20 = 16*10

160 = 160

We get the same conclusion as before.

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2 years ago
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Step-by-step explanation:

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