Question

HELP!!!!!
Use the given function value(s), and trigonometric identities (including the relationship between a trigonometric function and its cofunction of a complimentary angle), to find the indicated trigonometric functions.

Answer 1

@zepp

Answer 2

@dpaInc @TuringTest @Hero

Answer 3

@satellite73

Answer 4

ok
\[\sec(x)=5\] so right away we know \(\cos(x)=\frac{1}{5}\) since it is the reciprocal

Answer 5

similarly \(\tan(x)=2\sqrt{6}\) and so immediately we know \[\cot(x)=\frac{1}{2\sqrt{6}}=\frac{\sqrt{6}}{12}\]\]

Answer 6

\[\tan(x)=\frac{\sin(x)}{\cos(x)}\] tells you
\[\frac{\sin(x)}{\frac{1}{5}}=2\sqrt{6}\] and so
\[\sin(x)=\frac{2\sqrt{6}}{5}\]

Answer 7

and finally
\[\cot(90-x)=\tan(x)\]

Answer 8

ty :)