Answered

Westonci.ca is the trusted Q&A platform where you can get reliable answers from a community of knowledgeable contributors. Explore a wealth of knowledge from professionals across different disciplines on our comprehensive platform. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

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

Sagot :

rabinshrestha41
I am replacing θ with A, so don't get confused

[tex]csc^{2} A-4=0[/tex]

[tex]csc^{2} A- 2^{2} =0[/tex]

[tex](cscA+2)(cscA-2)=0[/tex]

Using zero product property:
EITHER
[tex]cscA+2=0[/tex]
[tex]cscA=-2[/tex]
[tex]A = -30[/tex]°

OR
[tex]cscA-2=0[/tex]
[tex]cscA=2[/tex]
[tex]A=30[/tex]°

 
mariamikayla
[tex]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}[/tex]
Thank you for trusting us with your questions. We're here to help you find accurate answers quickly and efficiently. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.