Sin Cos Tan - Basic Trigonometry - Working out unknown sides

TL;DR

This video provides an introduction to trigonometry and demonstrates how to solve for unknown sides in triangles using trigonometric functions.

Transcript

good day and welcome to the tech math channel uh what we're going to be having a look at in this video is we're looking at using trigonometry we're looking at in the last video um and using this trigonometry to solve for unknown sides okay work out unknown sides so first off uh let's just go give a quick recap what we had a look at last video we ha... Read More

Key Insights

• 🔺 Trigonometry involves using the relationships between angles and sides in right-angle triangles.
• 🙃 There are three trigonometric functions: sine, cosine, and tangent, each used for specific combinations of sides.
• 🙃 Labeling the sides and selecting the correct trigonometric function are crucial steps in solving for unknown sides.
• 🙃 Using mnemonics can help remember the relationships between sides and trigonometric functions.
• 🙃 Multiplying both sides of an equation by the same value helps in isolating the unknown variable.
• 😄 Scientific calculators often have built-in trigonometric functions for ease of calculation.
• 🔺 Solving for unknown sides in right-angle triangles involves substituting known values and solving the resulting equation.

Questions & Answers

Q: What are the different names of sides in a right-angle triangle?

The different names of sides in a right-angle triangle are hypotenuse, opposite, and adjacent.

Q: When do we use the sine function?

The sine function is used when we have the opposite and hypotenuse sides.

Q: How do we solve for unknown sides in trigonometry?

To solve for unknown sides, we need to label the sides, choose the appropriate trigonometric function, substitute values, and solve the equation.

Q: Can you explain the mnemonic for remembering the trigonometric functions?

The mnemonic is "Some Old Hags Can't Always Hack Their Old Age." It helps in remembering that sine is used with opposite and hypotenuse, cosine is used with adjacent and hypotenuse, and tangent is used with opposite and adjacent.

Q: How do we solve for a missing side when given an angle and one side length?

We can solve for a missing side by using the appropriate trigonometric function, substituting the known values, and solving for the unknown side.

Summary & Key Takeaways

• The video introduces the names of different sides in a right-angle triangle: hypotenuse, opposite, and adjacent.

• It explains the three trigonometric functions: sine, cosine, and tangent and when to use them based on the given sides.

• The video provides step-by-step instructions on how to solve for unknown sides by labeling the sides, choosing the appropriate trigonometric function, substituting values, and solving equations.