How does the Pythagorean Theorem Trig Proofs Calculator work?
Free Pythagorean Theorem Trig Proofs Calculator - Shows the proof of 3 pythagorean theorem related identities using the angle θ:
Sin2(θ) + Cos2(θ) = 1
Tan2(θ) + 1 = Sec2(θ)
Sin(θ)/Cos(θ) = Tan(θ)
This calculator has 1 input.
Common Core State Standards In This Lesson
CCSS.MATH.CONTENT.8.G.B.6
What 1 formula is used for the Pythagorean Theorem Trig Proofs Calculator?
sin(θ)2 + cos(θ)2 = 1
tan(θ)2 + 1 = sec(θ)2
sin(θ)/cos(θ) = tan(θ)
What 10 concepts are covered in the Pythagorean Theorem Trig Proofs Calculator?
- angle
- the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
- circle
- the set of all points in the plane that are a fixed distance from a fixed point
- cos
- cos(θ) is the ratio of the adjacent side of angle θ to the hypotenuse
- proof
- an inferential argument for a mathematical statement, showing that the stated assumptions logically guarantee the conclusion
- pythagorean theorem
- a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides
a2 + b2 = c2 - pythagorean theorem trig proofs
- sin
- sin(θ) is the ratio of the opposite side of angle θ to the hypotenuse
- tan
- the ratio of the opposite side to the adjacent side of a particular angle of the right triangle.
- triangle
- a flat geometric figure that has three sides and three angles
- triangle
- a flat geometric figure that has three sides and three angles