Tag Archives: trigonometric identities

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 – Trigonometric Identities – Example 6

By | October 1, 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 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 »

Trigonometry – Sine Difference Formula

By | September 17, 2016

Sine Difference Formula In this tutorial learn how to verify a trigonometric equation using trigonometric identities like the sine difference formula. Virginia Standards of Learning (SOL) T.5 Key Points of Knowledge Sum and Difference Formulas cos (α + β) = cos (α) cos (β) – sin (α) sin (β) cos (α – β) = cos (α)… Read More »