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Complete the table with exact trigonometric function values. Do not use a calculator.0sin 0COstan 0cot esec 0cSc245?122sinCOs etan ecotsec45212(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the ex

Question
Complete the table with exact trigonometric function values. Do not use a calculator.
0
sin 0
COs
tan 0
cot e
sec 0
cSc
2
45
?
1
2
2
sin
COs e
tan e
cot
sec
45
2
1
2
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the ex
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Complete the table with exact trigonometric function values. Do not use a calculator. 0 sin 0 COs tan 0 cot e sec 0 cSc 2 45 ? 1 2 2 sin COs e tan e cot sec 45 2 1 2 (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the ex

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Step 1

We use Pythagorean identity sin^2 x+ cos^2 x=1

with x=45

From there we find cos45, and since cos 45 is in first quadrant , it will be positive.

cos 45= sqrt(2)/2

sin 45+cos245 =1
-cos 45 1
2
cos245
2
+ cos245 =1
4
1
+ cos245 =1
2
cos 45 1
2
cos45
2
1
cos45=
V2
2
cos45=
2
.-
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sin 45+cos245 =1 -cos 45 1 2 cos245 2 + cos245 =1 4 1 + cos245 =1 2 cos 45 1 2 cos45 2 1 cos45= V2 2 cos45= 2 .-

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Step 2

We use inverse trigonometric formula to f...

1
cot45=
tan45
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1 cot45= tan45

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