## cutiecomittee123 one year ago Which function matches the graph? a. y=3csc(1/2x) b. y=1/3sec(2x) c. y=sec(1/2x)+3 d. y=3sec(1/2x)

1. cutiecomittee123

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2. anonymous

probably best to know what csc, sec, reduce to in sin, cos, tan etc...

3. cutiecomittee123

the amplitude is 3, I know that, and I think it is a secant graph. So I am guessing the answer is d. am I right?

4. anonymous

$\csc(x)=\frac{ 1 }{ \sin(x) }; {\space}\sec(x)=\frac{ 1 }{ \cos(x) }$

5. anonymous

so we can reduce our equations to either: $y=\frac{ 3 }{ \sin(\frac{ x }{ 2 })}$ $y=\frac{ 1 }{ 3\cos(2x) }$ $y=\frac{ 1 }{ \cos(\frac{ x }{ 2 }) }+3$ $y=\frac{ 3 }{ \cos(\frac{ x }{ 2 }) }$

6. cutiecomittee123

okay that sorta makes sense but i am a visual learner so

7. anonymous

btw, when you write sec(1/2x) is that $\sec(\frac{ x }{ 2 })$ or $\sec(\frac{ 1 }{ 2x })$

8. anonymous

yes d looks right

9. cutiecomittee123

cool thanks