Question

In right triangle ABC, ∠C is a right angle and sin A = sin B. What is m∠A?

Answer 1

so, how many degrees are in a triangle?

Answer 2

@otaylor19

Answer 3

180

Answer 4

..... @FibonacciChick666

Answer 5

good, so now, how many degrees are in a right angle?

Answer 6

90

Answer 7

@FibonacciChick666

Answer 8

yea, so now, if you have a 90 degree angle already in a triangle, how many degrees do you have left?

Answer 9

90 i think

Answer 10

that's right

Answer 11

so now, you are told that with those 90 deg. left, sin A=sin B and this is enough information to discern A and B

Answer 12

So, my question, how do you "undo" sine?

Answer 13

idk

Answer 14

ok, how about think like this,

Answer 15

What is the sin of A using that picture?

Answer 16

i dont understand this

Answer 17

ok, so do you know how sine is defined? If not I can give you a reference

Answer 18

no

Answer 19

ok give me a second

Answer 20

So this is a website reference http://www.mathsisfun.com/sine-cosine-tangent.html

Answer 21

This is a series of videos which will explain sine cosine and tangent https://www.khanacademy.org/math/trigonometry/basic-trigonometry/basic_trig_ratios/v/basic-trigonometry

Answer 22

I recommend watching them so that you do not remain lost, but for this particular question, I am going to tell you that if \(sin A=sin B\) then \(A=B\). So, you have 90 degrees left to use. and you have two angles that equal each other, what id the value of one of the angles?