First, simply prefer finding the intersection of 2 lines, you have the right to set these equations equal to each other. So,

sin2θ = cos2θ

Now rather of trying to simplify and resolve, you might usage the unit circle.

You are watching: Find all points of intersection of the given curves

The just locations on the unit circle wbelow sine and also cosine have the same value is at π/4 and also 5π/4.

However before, they want you to discover ALL points of interarea so we need to come up with a basic equation to assist determine ALL points.

Due to the fact that π/4 and 5π/4 are π distance amethod from each various other (on the unit circle), we have the right to use this in our general equation. So,

2θ = π/4 + nπ wbelow n = 0,1,2,3,....

Now we deserve to simplify this to,

θ = π/8 * (4n+1) wbelow n = 0,1,2,3,....

This general formula dictates ALL points on which r2 = sin2θ and also r2 = cos2θ intersect.


Upvote • 0 Downvote
Add comment
More
Report

Still trying to find help? Get the ideal answer, rapid.


Ask a question for free

Get a free answer to a quick difficulty. Many concerns answered within 4 hrs.


OR
Find an Online Tutor Now

Choose an professional and meet online. No packages or subscriptions, pay only for the moment you need.


¢ € £ ¥ ‰ µ · • § ¶ ß ‹ › « » > ≤ ≥ – — ¯ ‾ ¤ ¦ ¨ ¡ ¿ ˆ ˜ ° − ± ÷ ⁄ × ƒ ∫ ∑ ∞ √ ∼ ≅ ≈ ≠ ≡ ∈ ∉ ∋ ∏ ∧ ∨ ¬ ∩ ∪ ∂ ∀ ∃ ∅ ∇ ∗ ∝ ∠ ´ ¸ ª º † ‡ À Á Â Ã Ä Å Æ Ç È É Ê Ë Ì Í Î Ï Ð Ñ Ò Ó Ô Õ Ö Ø Œ Š Ù Ú Û Ü Ý Ÿ Þ à á â ã ä å æ ç è é ê ë ì í î ï ð ñ ò ó ô õ ö ø œ š ù ú û ü ý þ ÿ Α Β Γ Δ Ε Ζ Η Θ Ι Κ Λ Μ Ν Ξ Ο Π Ρ Σ Τ Υ Φ Χ Ψ Ω α β γ δ ε ζ η θ ι κ λ μ ν ξ ο π ρ ς σ τ υ φ χ ψ ω ℵ ϖ ℜ ϒ ℘ ℑ ← ↑ → ↓ ↔ ↵ ⇐ ⇑ ⇒ ⇓ ⇔ ∴ ⊂ ⊃ ⊄ ⊆ ⊇ ⊕ ⊗ ⊥ ⋅ ⌈ ⌉ ⌊ ⌋ 〈 〉 ◊

RELATED TOPICS


Math Algebra 1 Algebra 2 Calculus Trigonomeattempt Probcapacity Algebra Word Problem Proofs Geometric Proofs ... Math Assistance Triangle Area Circles Triangles Volume Mathematics Midsuggest Angles Geomeattempt Word Problems

RELATED QUESTIONS

what is a bisector geometry

Answers · 4

what is an equation equal of a line parallel to y=2/3x-4 and also goes through the suggest (6,7)

Answers · 5

what are some angles that deserve to be called via one vertex?

Answers · 2

name of a 2 demension figure explained below

Answers · 6

just how to discover the distance of the incenter of an equlateral triangle to mid center of each side?

Answers · 6

RECOMMENDED TUTORS


*

Bryboy G.

5.0 (253)
*

Abigail C.

5.0 (3,677)
*

Jia L.

5 (932)
See more tutors

uncover an virtual tutor


Download our totally free application

A link to the application was sent out to your phone.

See more: Who Sang I Ve Got The Power Lyrics, The Power (Snap! Song)


Please carry out a valid phone number.
Google Play App Store
Get to understand us
Find Out with us
Work with us
Downpack our free app
Google Play App Store
Let’s store in touch
Need even more help?

Learn more about how it works


Best in service considering that 2005
*
*

Tutors by Subject
Tutors by Location
Sitemap Terms of Use Privacy Policy
© 2005 - 2021 lutz-heilmann.info, Inc, a department of IXL Learning - All Rights Reserved |
*