Question

Find the exact values of the six trigonometric functions of the angle
theta given in the figure below. (Use Pythagorean Theorem to find the third side of the triangle.)

the sides are 7^2 +24^2 = c^2

Answer 1

Well, you're going to need to solve for c^2 first. Once you can get a value for c, the trig ratios are Soh Cah Toa, if you have ever heard that before.
Sin = Opposite/hypotenuse
Cos = adjacent/hypotenuse
Tangent = opposite /adjacent
cotangent = adjacent/opposite
secant = hypotenuse/adjacent
cosecant = hypotenuse /opposite.
And just to be sure, the hypotenuse is the longest side (it'll be the c you solve for). The opposite side is the side straight across from your angle. The remaining side is your adjacent side. Once you can solve for the hypotenuse and recognize which side is which, you can definitely get it from there.

Answer 2

\[\sin \theta=opp.side/hypotenuse ---- \cos \theta=adj.side/hypotenuse------\tan \theta=opp.side/adj.side\]

Answer 3

find c first

Answer 4

so wait, what is the oppsitie side?

Answer 5

opposite of theta

Answer 6

example:sin theta=7/hypotenuse