Question

find the exact value of each of the remaining trigonometric functions of theta
sin= -12/13,180degrees 11 years ago

Answer 1

draw a triangle

Answer 2

there is a picture of an angle whose sine (opposite over hypotenuse) is \(\frac{12}{13}\) what you need is the third side, which you find via pythagoras

Answer 3

or else just remembering the famous \(5-12-13\)right triangle
if you compute it , you would compute
\[\sqrt{13^2-12^2}=\sqrt{136-144}=\sqrt{25}=5\]

Answer 4

now you can take any trig ratio you want

Answer 5

just remember you are in quadrant 3 so both sine and cosine are negative

Answer 6

so cos a is 5/13 is -.385?

Answer 7

i meant cos theta

Answer 8

minus since you are in quad 3
leave the decimal out of it, just
\[\cos(\theta)=-\frac{5}{13}\]

Answer 9

sso tan is 12/5

Answer 10

yes

Answer 11

and cot is 5/12 sec 13/5 csc 13/12?? do any of those need to be negative

Answer 12

secant and cosecant are negative

Answer 13

they are the reciprocals of sine and cosine
both of those are negative in quadrant 3

Answer 14

okay thanks !!!:))

Answer 15

is cos-45 degrees -sqrt2/2