Question

given cos theta =(*radical*15)/4 and csc thta >0, find sin and tan theta

Answer 1

sin^2 + cos^2 = 1 ; is the pythag thrm for trig functions

Answer 2

or one of them that is :)

Answer 3

\[(\frac{\sqrt{15}}{4})^2+(\frac{?}{?})^2=1\]
\[\frac{15}{16}+(\frac{?}{?})^2=1\]
\[(\frac{?}{?})^2=1-\frac{15}{16}\]
\[(\frac{?}{?})=\sqrt{\frac{1}{16}}\]
\[sin(t)=1/4\]

Answer 4

csc(t) is just sin flipped over; or 4/1

Answer 5

tan = sin/cos

1/4
--------- = 1/sqrt(15) = sqrt(15)/15
sqrt(15)/4