Question

if theta is equal to pi/4 , beta is equal to pi/2, sec theta - beta = ?
answers:
a) - csc pi/4
b) sec pi/4
c) csc pi/4
d) - sec pi/4

Answer 1

So lets say
\[\huge\color{blue}{ θ = \frac{π}{4}} \]\[\huge\color{blue}{ β = \frac{π}{2}} \]

Answer 2

\[\huge\color{red}{ π=180°}\]

Answer 3

\[ \huge\color{blue}{ Sec~(θ-β)} ~~~~~~~~~~~this?\]

Answer 4

I would simply do this the following way.
\[ \huge\color{blue}{ \sec(θ-β) ~⇒ ~\sec(\frac{π}{4}-\frac{π}{2})~⇒} \]\[ \huge\color{blue}{ \sec(\frac{π}{4}-\frac{2π}{4})~⇒} \huge\color{blue}{ \sec(-\frac{π}{4})}\]CAN YOU GO FROM HERE?

Answer 5

Yes, thank you very much

Answer 6

Anytime, I would probably be able to do this without trig.

Answer 7

hey, what is the next step?

Answer 8

Should I say the next step, @lucaz?

Answer 9

I don't know ho to go on

Answer 10

how*

Answer 11

\[\sec(-π/4)=-\sec(π/4)\]\[\sec(π/4)=\sqrt{2}\]So,\[-\sec(π/4)=-\sqrt{2}\]

@lucaz, please don't tell me I don't know how to go on, I got a 97 on trig last year.

Answer 12

@Lucaz, should I prove that \[\sec(π/4)=\sqrt{2}\]or your good?

Answer 13

@lucaz why are we so silent?

Answer 14

no, it's ok

Answer 15

Oh, tnx a lot lucaz. I am not good at math but this staff I can do.

Answer 16

lol, I wasn't testing you

Answer 17

Oh, @lucaz I was blind

Answer 18

I thought you said YOU don't know how to go on.

Answer 19

xD

Answer 20

SORRY @lucaz apologize!!

Answer 21

right =]

Answer 22

Anyway, identities used:
\[\sin(-x)=-\sin(x)\]\[π=180\]\[Trigonometric~~~table.\]
adding fractions -prealgebra.