John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Geometry

The Converse Of Isosceles Triangle Theorem: Congruent Angles And Sides

Converse of the Isosceles Triangle Theorem If two angles of a triangle are congruent, then the sides opposite those angles are congruent. The converse of the Isosceles...

John Rhodes
June 21, 2023
Geometry

How To Apply The Intermediate Value Theorem In Mathematics

Theorem 4-5 If a line bisects the vertex angle of an isosceles triangle, then the line is also the perpendicular bisector of the base Theorem 4-5, also...

John Rhodes
June 21, 2023
Geometry

The Ambiguity Of Theorem 4-3 In Mathematics And Its Implications

Corollary to Theorem 4-3 If a triangle is equilateral, then the triangle is equiangular Theorem 4-3 in mathematical context is not well-defined, therefore it is difficult to...

John Rhodes
June 21, 2023
Geometry

Corollary To Theorem 4-4: Boundedness Of Convergent Sequence Of Real Numbers

Corollary to Theorem 4-4 If a triangle is equiangular, then the triangle is equilateral. The Corollary to Theorem 4-4 states that if a sequence of real numbers...

John Rhodes
June 21, 2023
Trigonometry

The Essential Trigonometric Identity: Sin^2X + Cos^2X = 1

sin^2x+cos^2x = 1 1 Explanation: The sum of two squares sin^2x and cos^2x is always equal to 1, which can be mathematically expressed as: sin^2x + cos^2x...

John Rhodes
June 21, 2023
Trigonometry

The Pythagorean Identity: Tan^2X + 1 Explained By A Trigonometry Expert

tan^2x + 1 = sec^2x This expression is not complete and requires an expression on the right-hand side of the equality sign, in order to be solved...

John Rhodes
June 21, 2023
Trigonometry

Unlocking The Power Of Trigonometric Identities: Simplifying Sin2X With Double Angle Identity

sin2x = 2sinxcosx The expression sin2x can be simplified using a trigonometric identity. Specifically, the double angle identity for sine states that: sin(2x) = 2sin(x)cos(x) Therefore, we...

John Rhodes
June 21, 2023
Trigonometry

Mastering Trigonometry: The Double-Angle And Half-Angle Identities Of Cosine

cos2x = 1-2sin^2x Cosine is a trigonometric function that returns the ratio of the adjacent side to the hypotenuse of a right triangle. The notation cos2x indicates...