Using Pythagorean Theorem, 15^2-9^2=12^2, so the length AD equals to 12. DC is 12sqrt(3) because the side facing the 60 degree angle is always sqrt(3) times larger than the side facing the 30 degree angle. Lastly, AC is two times AD, which is 24.
Adding the side lengths up, AB+AC+DC+BD=15+24+12sqrt(3)+9=48+12sqrt(3).
Answer and Step-by-step explanation:
These two terms (pronounced as Sine and Cosine) are used to solve for the sides and angles of a triangle in Trigonometry.
They are functions revealing the shape of a right triangle.
Sine is a trigonometric function of an angle. The sine of an acute angle is defined in the context of a right triangle: for the specified angle, it is the ratio of the length of the side that is opposite that angle, to the length of the longest side of the triangle.
Cosine is also a trigonometric function of an angle. The cosine of an angle is the relation of the length of the side that is adjacent that angle, to the length of the longest side of the triangle.
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Answer:
y = 1/4x - 2
Step-by-step explanation:
f(x) = 4x + 8
y = 4x + 8
x = 4y + 8
x - 8 = 4y
1/4x - 2 = y
y = 1/4x - 2
Answer:
1/12 or 1/6
Step-by-step explanation:
I need a multiple choice to help but if you get 2 attempts it one of these answers.
(1+tan²x)/(tan²x) =
1/tan²x + tan²x/tan²x =
cos²x/sin²x + 1 =
cos²x/sin²x + sin²x/sin²x =
(cos²x + sin²x) / sin²x =
1/sin²x =
csc²x.
QED