#3 sin(x) = -sqrt(2)/2 so x = 315 degrees. So we have sin(x+pi/3) = sin(375) = sin(15) which in exact form would be (sqrt(3) -1)/(2sqrt(2))
#4 to find x we take the arctan(20/21) which is approximately 43.6 degrees and add 180 to it since it's in the 3rd quadrant which is 223.6 degrees so we do sin(223.6 + 90) = sin(313.6) which equals -21/29. This can also be done with the pythagorean theorem. -21/29.
#5 13^2 - 5^2 = 12^2. so sin is -12/-13 = 12/13. we take arcsin of that and add 180 and then divide by 2 and take the sin of that and its approximately 3/sqrt(13).
#6 sin is 4/5 so we take arcsin of that and get 143.13 which -60 is 83.13 and we take the sin of that to get 3/10 + 2sqrt(3)/5
Hope this helped :L
Answer:
6:14 and 9:21
Step-by-step explanation:
Answer:
A:B
Step-by-step explanation:
i need numbers or something.
Answer:
The graph of x=4 is a vertical line parallel to y-axis and having a x-intecept:(4,0) and having no y-intercept
Step-by-step explanation:
So I think that the answer would be this, which means answer 1!! Hope this helps
Answer:
x = -10 or x = -3
Step-by-step explanation:
Here, the given equation is

The given equation can be solved by the method of SPLITTING THE MIDDLE TERM
Split 13 in such a way that sum of the terms = 13
and product of the terms = 30
So, the given equation becomes 
Here, 10x+ 3x = 13x and 10 x 3 = 30
Now, simplifying the equation,

⇒ either (x+ 10) = 0 ,or (x+ 3) = 0
⇒ x = -10 or x = -3