sorry if this seems like too many questions in the same day but today is math day for me so ive been working on this stuff all day haha ;-;

here's this other piece of pain that i'm struggling with:

Consider the following points on the graphs of $y = \sin(x)$ and $y = \sin(2x)$, with the added vertical dashed lines:

What are c and d in that order?

thank you so so so much for your help in advance!!! (you all are so great at math and it's so much more helpful than anything else ive tried)

:) <3

i swear this is the last question lol i dont wanna seem ungrateful for you guys' help haha

heartSTORM907 Sep 6, 2023

#1**+1 **

The point (a, -4/5) is on the graph of sin x

So

a is a third quadrant angle so sin a = -4/5 and cos a = -3/5

And (a, c) is on the graph of sin (2x)

So

sin (2a) = 2sin a cos a = 2 (-4/5) (-3/5) = 2 (12/25) = 24/25 = c

Likewise

(b , 5/13) is on sin x

sin b = 5/13

b is a first quadrant angle so cos b = 12/13

So

sin (2b) = 2 sin b cos b = 2 (5/13) (12/13) = 120 / 169 = d

CPhill Sep 6, 2023

#2

#3**0 **

**heartSTORM907, you bloody idiot! You have asked many questions already, including ones about quadratics. It seems that you struggle to understand them. If you read and understood the solutions, you should be able to handle simpler tasks like this. However, you simply copy and paste the answer without caring about the time and effort wasted. These homework helpers may be egotistical, but they are competent mathematicians who could teach basic math.**

GA

Guest Sep 8, 2023

edited by
Guest
Sep 8, 2023