Pythagorean trig identity from soh cah toa | Trigonometry | Khan Academy

Channel:
Subscribers:
8,980,000
Published on ● Video Link: https://www.youtube.com/watch?v=HnDvUaVjQ1I



Duration: 4:16
194,178 views
237


Sal introduces and proves the identity (sin(θ))^2+(cos(θ))^2=1, which arises from the Pythagorean theorem!

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/e/circles-and-pythagorean-identities?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Watch the next lesson: https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/pythagorean-identity/v/pythagorean-trig-identity-from-unit-circle?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Missed the previous lesson?
https://www.khanacademy.org/math/trigonometry/less-basic-trigonometry/trig-symmetry-periodicity/v/tan-periodicity?utm_source=YT&utm_medium=Desc&utm_campaign=Trigonometry

Trigonometry on Khan Academy: Big, fancy word, right? Don't be fooled. Looking at the prefix, tri-, you could probably assume that trigonometry ("trig" as it's sometimes called) has something to do with triangles. You would be right! Trig is the study of the properties of triangles. Why is it important? It's used in measuring precise distances, particularly in industries like satellite systems and sciences like astronomy. It's not only space, however. Trig is present in architecture and music, too. Now you may wonder...how is knowing the measurement and properties of triangles relevant to music?? THAT is a great question. Maybe you'll learn the answer from us in these tutorials!

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Trigonometry channel:
https://www.youtube.com/channel/UCYQSs1lFJZKpyqNQQHYFGjw?sub_confirmation=1
Subscribe to Khan Academy: https://www.youtube.com/subscription_center?add_user=khanacademy




Other Videos By Khan Academy


2013-12-19Equations for radical functions example | Functions and their graphs | Algebra II | Khan Academ
2013-12-19Flipping and shifting radical functions | Functions and their graphs | Algebra II | Khan Academy
2013-12-19Absolute value graphing exercise example | Functions and their graphs | Algebra II | Khan Academy
2013-12-19Graphs of absolute value functions | Functions and their graphs | Algebra II | Khan Academy
2013-12-19Polynomial end behavior exercise example | Algebra II | Khan Academy
2013-12-18Another polynomial end behavior example | Algebra II | Khan Academy
2013-12-18Polynomial end behavior example | Polynomial and rational functions | Algebra II | Khan Academy
2013-12-18Polynomial end behavior | Polynomial and rational functions | Algebra II | Khan Academy
2013-12-18Using the Pythagorean trig identity | Trig identities and examples | Trigonometry | Khan Academy
2013-12-18Pythagorean trig identity from unit circle | Trigonometry | Khan Academy
2013-12-18Pythagorean trig identity from soh cah toa | Trigonometry | Khan Academy
2013-12-18Decay of cesium 137 example | Exponential and logarithmic functions | Algebra II | Khan Academy
2013-12-18Constructing linear and exponential functions from data | Algebra II | Khan Academy
2013-12-18Introduction to complex numbers | Imaginary and complex numbers | Algebra II | Khan Academy
2013-12-17Quadratic inequality example 2 | Functions and their graphs | Algebra II | Khan Academy
2013-12-17Quadratic inequality example | Functions and their graphs | Algebra II | Khan Academy
2013-12-17Rewriting a quadratic function to find roots and vertex | Algebra I | Khan Academy
2013-12-17Simplifying with exponent properties | Exponent expressions and equations | Algebra I | Khan Academy
2013-12-17Exponential equation with rational answer | Exponent expressions | Algebra I | Khan Academy
2013-12-16Quadratic inequality word problem | Functions and their graphs | Algebra II | Khan Academy
2013-12-16Making more pizzas to spread cost per pizza | Functions and their graphs | Algebra II | Khan Academy



Tags:
Pythagorean identity
trigonometric ratios
trigonometry
Pythagorean theorem
HSF.TF.C.8