Question

PLEAAAAAAAAAAASEEEE I NEED YOUR HELP!!
Evaluate sin 60° without using a calculator by using ratios in a reference triangle.
@igreen

Answer 1

@surjithayer PLEEEEEEEEEEASEE HELP!!

Answer 2

Okay, first thing we see is a 60 degree angle...what right triangle has a 60 degree angle?

a 30 60 90 triangle right? which *you can look it up* has side ratios:

Answer 3

right

Answer 4

For future reference there are only 2 reference triangles

a 30 60 90 triangle
and a 45 45 90 triangle with those, you can solve any trig ratio

Answer 5

But here, we need the sin of 60 degrees, so we are working with this triangle

so we find the angle of 60

Answer 6

okay

Answer 7

And now, what do we know about the "sin" of a right triangle? which sides are involved?

Answer 8

Just in case we don't know there is an easy way to remember

SOH-CAH-TOA

S in
O pposite
H yotenuse

C os
A djacent
H ypotenuse

T angent
O pposite
A djacent

So we can see here that "sin" is equal to the opposite over the hypotenuse

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

right?

Answer 9

right i see that

Answer 10

Correct

Answer 11

@johnweldon1993

Answer 12

Not a problem :)

Answer 13

@johnweldon1993 done