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In this instructional video and practice activity from Khan Academy, students will explore how the radii and the foci of an ellipse relate to each other and how this relationship can be used to find the foci from the equation of an ellipse. This video can be used during a lesson on solving systems of equations. The video is 13 minutes and 48 seconds in length and can be assigned through Google Classroom. There are practice problems included after the video.
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2019 ALCOS
Precalculus
37. Use trigonometric identities to solve problems.
a. Use the Pythagorean identity sin^2 (θ) + cos^2(θ) = 1 to derive the other forms of the identity. Example: 1 + cot^2 (θ) = csc^2 (θ)
b. Use the angle sum formulas for sine, cosine, and tangent to derive the double angle formulas.
c. Use the Pythagorean and double angle identities to prove other simple identities.
