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Mama L [17]
3 years ago
10

Csc^2 θ − 4 = 0 find all solutions to the given equation

Mathematics
2 answers:
WARRIOR [948]3 years ago
3 0
csec^2\beta-4=0 \\\\ (csec\beta-2)(csec\beta+2)=0 \\\\\\ \#1 \\\\ csec\beta-2=0 \\\\ csec\beta=2 \\\\ \boxed{\beta=-1.099} \\\\\\ \#2 \\\\\ csec\beta+2=0 \\\\ csec\beta=-2 \\\\ \boxed{\beta=1.099}
Xelga [282]3 years ago
3 0
<span>I am replacing θ with A, so don't get confused
</span>
csc^{2} A-4=0

csc^{2} A- 2^{2} =0

(cscA+2)(cscA-2)=0

Using zero product property:
EITHER
cscA+2=0
cscA=-2
A = -30°

OR
cscA-2=0
cscA=2
A=30°

 
<span>

</span>
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<u>Answer:</u>

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4 years ago
Suppose a triangle has two sides of length 3and 4 and that the angle between these two sides is 60. What is the length of the th
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9514 1404 393

Answer:

  A.  √13

Step-by-step explanation:

You can make an educated guess and come to the right conclusion.

The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.

So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:

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A -- between 3 and 4, the correct choice

B -- 3, too short

C -- 1.73, too short

D -- more than 4, too long

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The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.

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  c = √13 . . . . . length of the side opposite the 60° angle

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Volgvan

Answer:

Step-by-step explanation:

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