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
A , sorry i just needed the point to ask questions
Answer:
1/3
Step-by-step explanation:
Assuming that both die are labelled 1 - 6, the successful outcomes are 3 and 5 or 3 and 6. This is 2 out of the 6 possible outcomes so the answer is 2/6 or 1/3.
The point that is 3/7 of the way between -4 and 17 is 5
