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Trigonometry • Series

Triangles, Pyramids, and Trigonometry

Jose Roberto Cossich G

Series Details

Sessions

Public Discussion

This series ended on April 9, 2022. All 1:1 and group chats related to this series are disabled 7 days after the last session.

Series Details

About

Welcome! In this series we'll start with the very basics of triangles and end with advanced trigonometry! Are you ready? We'll cover: -Types of triangles, - General Triangle Properties -Circumcenter, Centroid, Altitudes, and Medians -Triangular Pyramids and Prisms (and their brain bending properties :) -Right Triangle Trigonometry (SOHCAHTOA, Complementary Angles, Reciprocal Trigonometric Ratios, etc.) -Unit Circle and Trigonometric Identities/Values -Radians and Degrees -Trigonometric Functions -Inverse Trigonometric Functions -Sinusoidal Graphs/Equations -Angle Addition Identities -(other) Trigonometric Identities Each session will be about an hour to an hour and a half and we'll end each session with a Quizziz (game). Catch-up sessions are always available, just ask! Everything is organized in a google sites (homework, resources, slides, etc.) Pre-requisite: Pre-Algebra; Algebra and Geometry in general are also useful and recommended, but not required. YOU CAN ALWAYS JOIN AFTER THE SERIES HAS BEGUN!

✋ ATTENDANCE POLICY

Optional, but concepts grow off one another, so if you can't make it just let me know and we can have a catch-up session if you want. Hope to see you soon!

Dates

February 5 - April 9

Learners

55 / 75

Total Sessions

18

About the Tutor

Hey, my name's Jose, and I'm currently a senior. I'm about the biggest Indie music fan there is, I love 80s movies (John Hughes goat), and reading in my spare time. I enjoy math because it allows me to express myself artistically, and tutor for the mere sake of those aha moments. I've gotten 5s on AP Spanish Lit and AP English Lang, and I've taken Multivariable Calc and Linear Algebra (which I hope to tutor soon!) I'm currently taking AP Physics C and Real Analysis.

View Jose Roberto Cossich G's Profile

Upcoming Sessions

0

Past Sessions

18
5
Feb

Session 1

Right triangles & trigonometry

It's great to see you guys here! We're going to start with a brief series overview, then get into -Types of Triangles -Angle Properties -The Triangle Inequality Theorem -The Pythagorean Theorem (we'll do the proof after the quizziz using similarly for those who wanna see, I'll also send a video of it to you guys) Catch-up sessions are always available!
11
Feb

Session 2

Right triangles & trigonometry

Hey guys, today we'll be talking about medians, centroids, and circumcenters, orthocenters, and more, so get ready! Catch-up sessions are always available!
18
Feb

Session 3

Right triangles & trigonometry

Hey guys, Today we're going to learn the trigonometric ratios (SOHCAHTOA), reciprocal ratios, and build some intuition around them (it would be helpful to know about Similarity beforehand). We'll find the lengths of missing sides of right triangles, learn about complementary angles, and do some other practice. As always, catch-up sessions are available.
20
Feb

Session 4

Non-right triangles & trigonometry

Hey guys, today we're going to go over the law of sines and cosines (and their proofs) to find the missing sides of arbitrary triangles (and provide some more intuition to some congruence theorems using these laws) As always, catch-up sessions are available.
25
Feb

Session 5

Trigonometric functions

Hey guys, today we'll learn what radians are and how to convert between them and degrees. Then we'll go over the Unit Circle, trig identities/values that we can derived from the unit circle, and then we'll practice computing trig values. As always, catch-up sessions are available.
27
Feb

Session 6

Review

Hey guys, today we're going to be reviewing everything we've learnt so far: -Triangle types, finding angles. -Medians, circumcenters, centroids of triangles -Pythagorean Theorem (& Special Right Triangles) -SOHCAHTOA and reciprocal trigonometric ratios -Using the law of sines/cosines to find missing side lengths As always, catch-up sessions are available.
6
Mar

Session 7

Trigonometric functions

Hey guys, today we'll learn what radians are and how to convert between them and degrees. Then we'll go over the Unit Circle, trig identities/values that we can derived from the unit circle, and then we'll practice computing trig values. As always, catch-up sessions are available.
7
Mar

Session 8

Trigonometric functions

Hey guys, today we're going to be plotting the values of trigonometric functions that we derived using the unit circle onto a graph; then we'll play around with inverse functions and make the trigonometric functions invertible (For background knowledge on making functions invertible, go to https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:composite/x9e81a4f98389efdf:invertible/a/intro-to-invertible-functions). We'll also determine the domain and range of these inverse functions and see their graphs as well. As always, catch-up sessions are available.
13
Mar

Session 9

Trigonometric functions

Hey guys, today we're going to take a look at the features of sinusoidal (sine and cosine) functions today: amplitude, period, midline, and phase shift, and how each of these features corresponds to a different part of the sinusoidal equation af(b(x+c))+d, where f is either sin or cosine. As always, catch-up sessions are available.
14
Mar

Session 10

Trigonometric functions

Today we'll just practice what we learnt last session, deriving the equations of sinusoidal functions using their graphs. This is a very tedious process, so we will have an additional session on this. As always, catch-up sessions are available.
19
Mar

Session 11

Trigonometric equations and identities

Hey guys, today we're going to take a look at the features of sinusoidal (sine and cosine) functions today: amplitude, period, midline, and phase shift, and how each of these features corresponds to a different part of the sinusoidal equation af(b(x+c))+d, where f is either sin or cosine. As always, catch-up sessions are available.
20
Mar

Session 12

Trigonometric equations and identities

Hey guys, today we're going to take a look at the features of sinusoidal (sine and cosine) functions today: amplitude, period, midline, and phase shift, and how each of these features corresponds to a different part of the sinusoidal equation af(b(x+c))+d, where f is either sin or cosine. As always, catch-up sessions are available.
21
Mar

Session 13

Trigonometric functions

Hey guys, today we're going to take a look at the features of sinusoidal (sine and cosine) functions today: amplitude, period, midline, and phase shift, and how each of these features corresponds to a different part of the sinusoidal equation af(b(x+c))+d, where f is either sin or cosine. As always, catch-up sessions are available.
23
Mar

Session 14

Trigonometric equations and identities

Today we're going to be applying trig identities to solve sinusoidal equations! Have fun, see you soon. As always, catch-up sessions are available.
24
Mar

Session 15

Trigonometric equations and identities

Today we're going to cover angle addition identities for sine, cosine, and tangent. This is our second-to-last session for the series, so enjoy! As always, catch-up sessions are available.
27
Mar

Session 16

Review

Hey guys, today we're going to review everything we've learned so far since the last review: -Trigonometric functions and identities -Properties of inverse trigonometric functions -Solving sinusoidal equations -Angle addition identities This was our last session, but I'm sure we'll see each other again! Have fun and good luck, it was great having you guys. As always, catch-up sessions are available.
8
Apr

Session 17

Trigonometric equations and identities

Today we're going to be applying trig identities to solve sinusoidal equations! Have fun, see you soon. As always, catch-up sessions are available.
9
Apr

Session 18

Trigonometric equations and identities

Today we're going to cover angle addition identities for sine, cosine, and tangent. This is our second-to-last session for the series, so enjoy! As always, catch-up sessions are available.

Public Discussion

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