Question

please help! i don't understand this.

If sin0=2/3, find the values of the other five trigonometric functions of 0.

(the 0's have a slashed line through it)

Answer 1

i think in question it should be sin x.....please check it

Answer 2

no it says sin0, but the 0 has a dash through if. do you know what i mean by that?

Answer 3

it looks like the one on the top right corner

Answer 4

@erin512

Answer 5

YA ITS right now.
the symbol is pronounced theta

Answer 6

oh okay sorry

Answer 7

\[\sin \theta =2/3\]
\[\sin \theta=P/H\]
where P stands for perpendicular and H stands for hypotenuse
B denotes the base
By pythagoras theorem...
H^2=B^2+P^2
\[H=\sqrt{(P)^{2}+(B)^{2}}\]
FROM THIS..
\[B=\sqrt{(H)^{2}-(P)^{2}}\]
\[B=\sqrt{9-4}\]
\[B=\sqrt{5}\]

Answer 8

\[\cos \theta=B/H\]
\[\cos \theta=\sqrt{5}/3\]

Answer 9

\[\tan \theta=P/B\]
\[\tan \theta=2/\sqrt{5}\]

Answer 10

\[\sec \theta=1/(\cos \theta)\]
\[\cot \theta=1/(\tan \theta)\]
\[\csc \theta=1/(\sin \theta)\]

Answer 11

i hope u can find them now......

Answer 12

what am i trying to find now? thanks for all the help. i'm sorry, i'm so lost in this unit

Answer 13

@nitz

Answer 14

put the values of \[\cos \theta,\tan \theta,\sin \theta \] in THE ABOVE THREE expressions to find the values of these three angles respectively...

Answer 15

not these three angles......it should be other three angles.....
ie \[\sec \theta ,\cot \theta,\csc \theta \]

Answer 16

cosθ,tanθ,sinθ = 0.75, 0.89, 0.67.
is this correct?

Answer 17

@nitz

Answer 18

i'm not sure what the final answer would be

Answer 19

oh are those the first 3 values its looking for?