Question

help me please

Answer 1

which trig function would tie together theta, x and 6?

Answer 2

sin i belive

Answer 3

nope, tangent actually

Answer 4

http://www.mathwords.com/s/sohcahtoa.htm

Answer 5

we can say
\[\Large \tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\]
\[\Large \tan(\theta) = \frac{6}{x}\]

Answer 6

then we apply the inverse tangent, or arctangent, to both sides
\[\Large \tan(\theta) = \frac{6}{x}\]
\[\Large \arctan\left(\tan(\theta)\right) = \arctan\left(\frac{6}{x}\right)\]
\[\Large \theta = \arctan\left(\frac{6}{x}\right)\]

Answer 7

so we can say
\[\Large \theta = \arctan\left(\frac{6}{x}\right)\]
or
\[\Large \theta = \tan^{-1}\left(\frac{6}{x}\right)\]
arctan and \(\Large \tan^{-1}\) (inverse tangent) are effectively the same thing

Answer 8

thank you so much

Answer 9

no problem