Value of cot75° = ___________
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Answers
Answer:
cot 45°+ cot30° = cot 75°
1 +√3/2= cot 75°
2+√3/2 = cot 75°
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Step-by-step explanation:
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Trigonometry Examples
Popular Problems
Trigonometry
Find the Exact Value cot(75)
cot(75)cot(75)
Split 7575 into two angles where the values of the six trigonometric functions are known.
cot(30+45)cot(30+45)
Apply the sum of angles identity.
cot(30)cot(45)−1cot(45)+cot(30)cot(30)cot(45)-1cot(45)+cot(30)
The exact value of cot(30)cot(30) is √33.
√3cot(45)−1cot(45)+cot(30)3cot(45)-1cot(45)+cot(30)
The exact value of cot(45)cot(45) is 11.
√3⋅1−1cot(45)+cot(30)3⋅1-1cot(45)+cot(30)
The exact value of cot(45)cot(45) is 11.
√3⋅1−11+cot(30)3⋅1-11+cot(30)
The exact value of cot(30)cot(30) is √33.
√3⋅1−11+√33⋅1-11+3
Simplify √3⋅1−11+√33⋅1-11+3.
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2−√32-3
The result can be shown in multiple forms.
Exact Form: 2−√32-3
Decimal Form: 0.26794919…