Question

if sec(θ)= 5/3 and the terminal point determined by θ is in quadrant 4, then CHECK ALL THAT APPLIES
A. cos (θ)=3/5
B. csc (θ)= 5/4
C. tan (θ)= 4/3
D. sin (θ) = -(2/5)

Answer 1

sec(theta) = 1 / cos(theta)

Answer 2

what does that mean

Answer 3

sec(theta) = 1 / cos(theta) = 5 / 3

solve for cos(theta)

Answer 4

in quadrant 4, cos(theta) is positive

Answer 5

( x, y ) = ( cos(theta) , sin(theta) ) 4th quadrant, positive X value, positive cos value

Answer 6

so just A is right?

Answer 7

what is sin(theta 0if cos(theta) = 3/5 ?

Answer 8

sin^2(theta) + cos^2 (theta) = 1

Answer 9

sin theta= 4/5

Answer 10

Are A and B the corect answers?

Answer 11

remember it is the 4th quadrant, the sin will be negative

Answer 12

can you just tell me if im right

Answer 13

you know sin and cos, check the other 2 answers B and C

csc = 1 / sin = 5/4 ?

Answer 14

tan = sin / cos = 4 / 3 ?

Answer 15

it cant be C because tangent has to be negative

Answer 16

yes!

Answer 17

I already knew that. I am asking if A and B are the correct answers

Answer 18

yes, we showed cos(theta) = 3 /5 so A is right.

You calculated sin(theta) = -4/5

Answer 19

so csc(theta) = 1 / sin(theta) = -5/4

Answer 20

so are u saying B is right ?

Answer 21

no, csc(theta) is negative

Answer 22

sin is -4/5

so 1 / sin is also negative

Answer 23

so csc has to be -5/4 to be true

Answer 24

yeah

Answer 25

thank you.

Answer 26

so A is the only one it looks like

Answer 27

welcome