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vesna_86 [32]
3 years ago
13

angle 0 is in quadrant 1 with sin0 = 2/5. Use the Pythagorean identity, sin^2 0 + cos^2 0 = 1, to calculate the value of cos0 as

a radical.
Mathematics
1 answer:
Gwar [14]3 years ago
7 0
We know that
sin²x+cos²x=1
so 
clear cos x
cos x=(+/-)√[1-sin²x]

in this problem
<span>Angle 0 is in quadrant 1 -----> cos o and sin o are positive
</span>sin o=2/5
cos x=√[1-(2/5)²]----> cos o=√[1-4/25]----> cos o=√[21/25]---> cos o=√21/5

the answer is
cos o=√21/5

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When you say 1 over 3, you are basically saying 1 divided by 3, or expressed as a rational number: \frac{1}{3}. in our rational number the denominator is 1, and the numerator is 3

Now, a rational expression is an algebraic expression in a rational for. If we apply the same to your problem. 4 over x-3 means 4 divided by x-3, or in mathematical notation: \frac{4}{x-3}. In this case, the numerator is 4, and the denominator is x-3.

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