How do you solve Tan(55)= (c+4)/ctan(55)=c+4c?

1 Answer
Apr 23, 2018

The answer is c=4/(tan55-1)c=4tan551.

Explanation:

To solve for cc, get rid of the denominator, then move all the parts containing cc to one side, then factor out cc:

tan55=(c+4)/ctan55=c+4c

tan55color(blue)(*c)=(c+4)/(c)color(blue)(*c)tan55c=c+4cc

tan55color(blue)(*c)=(c+4)/color(red)cancelcolor(black)(c)color(blue)(*color(red)cancelcolor(blue)c)

ctan55=c+4

ctan55-c=4

c(tan55-1)=4

color(blue)(color(black)(c(tan55-1))/(tan55-1))=color(blue)(color(black)4/(tan55-1))

color(blue)(color(black)(c color(red)cancelcolor(black)((tan55-1)))/color(red)cancelcolor(blue)(tan55-1))=color(blue)(color(black)4/(tan55-1))

c=color(blue)(color(black)4/(tan55-1))

color(white)c~~9.3425636...

That's the solution. Hope this helped!