Answer:
sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5
Step-by-step explanation:
We need to find sine, cosine, and tangent of theta for this triangle.
First, define the different trigonometric functions:
- sine is opposite side to the angle divided by the hypotenuse (longest side not adjacent to the 90 degree angle)
- cosine is the adjacent side next to the angle divided by the hypotenuse
- tangent is the opposite side to the angle divided by the adjacent side
Now, look at theta (θ):
- the opposite side is marked 12
- the adjacent side is marked 5
- the hypotenuse is marked 13
So:
- sin(θ) = opposite / hypotenuse = 12/13
- cos(θ) = adjacent / hypotenuse = 5/13
- tan(θ) = opposite / adjacent = 12/5
Thus the answers are: sin(θ) = 12/13, cos(θ) = 5/13, tan(θ) = 12/5.
Answer: Angle bisectors
Step-by-step explanation:
The incenter is the point forming the origin of a circle inscribed inside the triangle. Like the centroid, the incenter is always inside the triangle. It is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.
90-80=10. 9-6=1 and 0-0=0 so it equals 10. Hopefully this helped!! =“)
