Answer:
Sure, here are the trigonometric ratios of 30, 45, and 60 degrees in both fraction and decimal form:
For 30 degrees:
- sin 30° = 1/2 or 0.5
- cos 30° = sqrt(3)/2 or 0.866
- tan 30° = 1/sqrt(3) or 0.577
- csc 30° = 2 or 2.00
- sec 30° = 2/sqrt(3) or 1.155
- cot 30° = sqrt(3) or 1.732
For 45 degrees:
- sin 45° = sqrt(2)/2 or 0.707
- cos 45° = sqrt(2)/2 or 0.707
- tan 45° = 1 or 1.00
- csc 45° = sqrt(2) or 1.414
- sec 45° = sqrt(2) or 1.414
- cot 45° = 1 or 1.00
For 60 degrees:
- sin 60° = sqrt(3)/2 or 0.866
- cos 60° = 1/2 or 0.5
- tan 60° = sqrt(3) or 1.732
- csc 60° = 2/sqrt(3) or 1.155
- sec 60° = 2 or 2.00
- cot 60° = 1/sqrt(3) or 0.577
Note that sqrt(2) and sqrt(3) are irrational numbers and cannot be expressed as a finite decimal.
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Answers & Comments
Answer:
Sure, here are the trigonometric ratios of 30, 45, and 60 degrees in both fraction and decimal form:
For 30 degrees:
- sin 30° = 1/2 or 0.5
- cos 30° = sqrt(3)/2 or 0.866
- tan 30° = 1/sqrt(3) or 0.577
- csc 30° = 2 or 2.00
- sec 30° = 2/sqrt(3) or 1.155
- cot 30° = sqrt(3) or 1.732
For 45 degrees:
- sin 45° = sqrt(2)/2 or 0.707
- cos 45° = sqrt(2)/2 or 0.707
- tan 45° = 1 or 1.00
- csc 45° = sqrt(2) or 1.414
- sec 45° = sqrt(2) or 1.414
- cot 45° = 1 or 1.00
For 60 degrees:
- sin 60° = sqrt(3)/2 or 0.866
- cos 60° = 1/2 or 0.5
- tan 60° = sqrt(3) or 1.732
- csc 60° = 2/sqrt(3) or 1.155
- sec 60° = 2 or 2.00
- cot 60° = 1/sqrt(3) or 0.577
Note that sqrt(2) and sqrt(3) are irrational numbers and cannot be expressed as a finite decimal.