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Mama L [17]
2 years ago
10

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

Mathematics
2 answers:
WARRIOR [948]2 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]2 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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