Question

"Find sin A, cos A, tan A, sin B, cos B, and tan B for the triangle below."

Thank you! (:

Answer 1

Well first...do we know the rules for the trig functions with a right triangle?

Answer 2

If not, there is a little way to remember it

SOA CAH TOA

Breaking that down we have

S in
O pposite
H ypotenuse

C os
A djacent
H ypotenuse

T angent
O pposite
A djacent

So we can see that

\[\large sin\theta = \frac{opposite}{hypotenuse}\]
\[\large cos\theta = \frac{adjacent}{hypotenuse}\]
\[\large tan\theta = \frac{opposite}{adjacent}\]

Answer 3

So for your triangle

Answer 4

To find sinA cosA tanA etc...we look at the angle A...



and we use the rules...

Answer 5

For example

Sin(A) = opposite / hypotenuse

so we look at our triangle



So sin(A) would = 30 / 78

and you keep going like that