For starters,
tan(2θ) = sin(2θ) / cos(2θ)
and we can expand the sine and cosine using the double angle formulas,
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = 1 - 2sin^2(θ)
To find sin(2θ), use the Pythagorean identity to compute cos(θ). With θ between 0 and π/2, we know cos(θ) > 0, so
cos^2(θ) + sin^2(θ) = 1
==> cos(θ) = √(1 - sin^2(θ)) = 4/5
We already know sin(θ), so we can plug everything in:
sin(2θ) = 2 * 3/5 * 4/5 = 24/25
cos(2θ) = 1 - 2 * (3/5)^2 = 7/25
==> tan(2θ) = (24/25) / (7/25) = 24/7
Answer:
2
4
3
1
Step-by-step explanation:
Answer:
D, because for every x, the 3 slowly become slower. IF the thing that is being taken to the power of x is less than one it is a decay
Answer:
34.5
Step-by-step explanation:
Add up all the numbers. 10+8+6+5=29. Then divide 29 by 100. Then multiply 10x What you got from 100/29. Sorry if thats confusing hope that helps!
Answer:
9. C. division
10. D. addition
Step-by-step explanation:
When solving for X the goal is to get it all by itself on one side of the equation and to do that you have to undo the operations already in effect on it. In number 9 the x is multiplied by 3 so to undo that you would need to divide by 3 and that would cancel out leaving the x by itself. Then you would need to divide by 3 on the other side of the equation also to keep it balenced. In number 10 the X is connected to the 10 through subtraction so to cancel that out you would subtract 10 from both sides to get the X alone.
I hope this helps and please don't hesitate to ask if there is anything still unclear!
