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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 7 concepts are covered in the Pythagorean Theorem Trig Proofs Calculator?
cosine
cos(θ) is the ratio of the opposite side 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
tangent
the straight line that just touches the curve at that point
triangle
a flat geometric figure that has three sides and three angles