Which are the Six Functions in Trigonometry? | Don't Memorise

TL;DR

This content explains the six functions in trigonometry using a right triangle, including sine, cosine, tangent, cosecant, secant, and cotangent.

Transcript

in this session we will look at all the six functions in trigonometry using a right triangle let this be angle Theta this will be the side adjacent to Theta this will be the side opposite to Theta and this is the hypotenuse we learned the formula of the S cosine and tangent functions using this right triangle the code we used to remember the formul... Read More

Key Insights

• 🙃 Trigonometry functions are used to calculate the ratios of sides in a right triangle.
• 👨‍💼 The formulas of sine, cosine, and tangent can be remembered using the mnemonic code SOH-CAH-TOA.
• 👨‍💼 Cosecant, secant, and cotangent are the reciprocals of sine, cosine, and tangent, respectively.
• 📛 The names of the three additional trigonometry functions (cosecant, secant, cotangent) can be confusing, but their formulas are simple.
• 🎮 Understanding the unit circle video can help in comprehending the concept of these functions.
• 👨‍💼 Cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent.
• 🫤 Remembering which function goes with which reciprocal can be challenging, but noting that "c" goes with "s" and "s" goes with "c" can help.

Questions & Answers

Q: What are the six trigonometry functions mentioned in the content?

The six trigonometry functions mentioned in the content are sine, cosine, tangent, cosecant, secant, and cotangent.

Q: How are the formulas of the six functions related to a right triangle?

The formulas of the six functions are derived using a right triangle, where sine equals opposite divided by hypotenuse, cosine equals adjacent divided by hypotenuse, and tangent equals opposite divided by adjacent.

Q: How can cosecant, secant, and cotangent be defined in terms of sine, cosine, and tangent?

Cosecant is the reciprocal of sine, so it equals hypotenuse divided by opposite. Secant is the reciprocal of cosine, so it equals hypotenuse divided by adjacent. Cotangent is the reciprocal of tangent, so it equals adjacent divided by opposite.

Q: What is the mnemonic code mentioned in the content to remember the trigonometry formulas?

The mnemonic code is SOH-CAH-TOA, where S stands for sine, C for cosine, and T for tangent. It helps remember that sine equals opposite divided by hypotenuse, cosine equals adjacent divided by hypotenuse, and tangent equals opposite divided by adjacent.

Summary & Key Takeaways

• The content introduces the six trigonometry functions (sine, cosine, tangent, cosecant, secant, cotangent) using a right triangle.

• The formulas for each function are explained, with a mnemonic code (SOH-CAH-TOA) to remember them.

• The content highlights that cosecant is the reciprocal of sine, secant is the reciprocal of cosine, and cotangent is the reciprocal of tangent.