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: 10 sq units
Step-by-step explanation:
Area of triangle: 1/2 x b x h
1/2 x 2 x 2 = 2
Area of the left triangle is 2 sq units
1/2 x 4 x 2 = 4
Area of the right triangle is 4 sq units
Area of square: l x w
2 x 2 = 4
Area of square is 4 sq units
Area of figure: A of square + A of r tri. + A of left tri.
4 + 4 + 2 = 10
The area of the figure is 10 sq units.
Answer:
25 is your answer.
Step-by-step explanation:
Divide 30 by 3 and you will get 10. Divide 30 by 2 and you will get 15. Add 15 to 10 and you get 25 and that is your answer
Hope this is helpful!
I think its sec theta
i havent done this in a while so... its prob wrong
