Tag Archives: pythagorean identity

Calculus – Trigonometric Function Integration using the Substitution Method

By | April 7, 2017

Trigonometric Function Integration using the Substitution Method In this tutorial students learn how to calculate the area under a trigonometric function over an interval using the u-substitution technique. Virginia Standards of Learning(SOL) APC.11

Trigonometry – Keys to remember the 6 Basic Trigonometric Functions

By | September 30, 2016

6 Basic Trigonometric Functions In this tutorial the students will learn about the 6 Basic Trigonometric Functions.  They will also see how the functions relate to the Unit Circle and Right Triangles.  Lastly, the students will also be introduced to the Pythagorean Identities. Key Skills Pythagorean Identities sin²x + cos²x = 1 1 + cot²x = csc²x tan²x +… Read More »

Trigonometry – Trigonometric Identities – Example 5

By | September 30, 2016

Trigonometric Identities In this tutorial the students learn how to use trigonometric identities and properties of trigonometry to prove that trigonometric expressions are equal. Virginia Standards of Learning(SOL) T.5 Key Skills Trigonometric Identities 1/cos(x) = sec(x) 1/sin(x) = csc(x) tan(x) = sin(x)/cos(x) 1/tan(x) = cos(x)/sin(x) 1/tan(x) = cot(x) Pythagorean Identities sin²x + cos²x = 1 1 +… Read More »

Trigonometry – Trigonometric Identities – Example 4

By | September 29, 2016

Trigonometric Identities In this tutorial the students learn how to use trigonometric identities and properties of trigonometry to prove that trigonometric expressions are equal. Virginia Standards of Learning (SOL) T.5 Key Skills Trigonometric Identities 1/cos(x) = sec(x) 1/sin(x) = csc(x) tan(x) = sin(x)/cos(x) 1/tan(x) = cos(x)/sin(x) 1/tan(x) = cot(x) Pythagorean Identities sin²x + cos²x = 1 1… Read More »

Trigonometry – Trigonometric Identities – Example 3

By | September 27, 2016

Trigonometric Identities In this tutorial the students learn how to use trigonometric identities and properties of trigonometry to prove that trigonometric expressions are equal. Virginia Standards of Learning(SOL) T.5 Key Skills Pythagorean Identities sin²x + cos²x = 1 1 + cot²x = csc²x tan²x + 1 = sec²x Trigonometric Identities 1/cos(x) = sec(x) 1/sin(x) = csc(x) tan(x)… Read More »

Trigonometry – Trigonometric Identities – Example 2

By | September 25, 2016

Trigonometric Identities In this tutorial the students learn how to use trigonometric identities and properties of trigonometry to prove that trigonometric expressions are equal. Virginia Standards of Learning(SOL) T.5 Key Skills Trigonometric Identities 1/cos(x) = sec(x) 1/sin(x) = csc(x) tan(x) = sin(x)/cos(x) 1/tan(x) = cos(x)/sin(x) 1/tan(x) = cot(x) Pythagorean Identities sin²x + cos²x = 1 1 +… Read More »

Trigonometry – Trigonometric Identities

By | September 24, 2016

Trigonometric Identities In this tutorial the students will learn how to use trigonometric identities and properties of trigonometry to prove that trigonometric expressions are equal. Virginia Standards of Learning(SOL) T.5 Key Skills Trigonometric Identities 1/cos(x) = sec(x) 1/sin(x) = csc(x) tan(x) = sin(x)/cos(x) 1/tan(x) = cos(x)/sin(x) 1/tan(x) = cot(x) Pythagorean Identities sin²x + cos²x = 1 1… Read More »

Trigonometry – Sine Double Angle Identity

By | September 20, 2016

Sine Double Angle Identity In this tutorial students learn how to verify a trigonometric equation.  The students will learn to use trigonometric identities like the Double Angle Identity and the Pythagorean Identity. Virginia Standards of Learning (SOL) T.5 Key Skills Pythagorean Identities sin²x + cos²x = 1 1 + cot²x = csc²x tan²x + 1 = sec²x… Read More »

Trigonometry – Cosine Double Angle Identity

By | September 18, 2016

Cosine Double Angle Identity In this tutorial students learn how to verify a trigonometric equation using trigonometric identities like Double Angle and Pythagorean. Virginia Standards of Learning (SOL) T.5 Key Skills Pythagorean Identities sin²x + cos²x = 1 1 + cot²x = csc²x tan²x + 1 = sec²x Trigonometric Identities 1/cos(x) = sec(x) 1/sin(x) = csc(x) tan(x)… Read More »