SOLUTION: Draw an appropriate triangle to find the exact value of :
1. csc45°
2. cot30°
3. sec45°
4. cot60°
Can you please help me out and show the steps because it would really help me
Algebra ->
Trigonometry-basics
-> SOLUTION: Draw an appropriate triangle to find the exact value of :
1. csc45°
2. cot30°
3. sec45°
4. cot60°
Can you please help me out and show the steps because it would really help me
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Question 926571: Draw an appropriate triangle to find the exact value of :
1. csc45°
2. cot30°
3. sec45°
4. cot60°
Can you please help me out and show the steps because it would really help me understand, thank you very much in advance:)
You can put this solution on YOUR website! Draw an appropriate triangle to find the exact value of :
1. csc45°
Draw a 45-45-90 right triangle.
Let the equal sides be "1".
Then the hypotenuse is sqrt(1^2+1^2) = sqrt(2)
Then csc(45) = hyp/opp = sqrt(2)/1 = sqrt(2)
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2. cot30°
Draw a 30-60-90 right triangle.
Let the side opposite the 30 degree angle be "1"
Then the hypotenuse is "2" and the base is sqrt[2^2-1^2] = sqrt(3)
Then cot(30) adj/opp = sqrt(3)/1 = sqrt(3)
--------------------------------
3. sec45°
Use the triangle from #1
sec(45) = hyp/adj = sqrt(2)/1 = sqrt(2)
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4. cot60°
Use the triangle from #2
cot(60) = adj/opp = 1/sqrt(3)
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Cheers,
Stan H.
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