Summary Trigonometry Word Notes (with Word Problems)
2 views 0 purchase
Course
Trigonometry
Institution
The document provides an overview of trigonometry, a branch of mathematics that studies the relationships between angles and sides of triangles. It highlights several important concepts and applications of trigonometry, including trigonometric ratios, SOHCAHTOA, the unit circle, Pythagorean theorem...
Trigonometry Notes
● Trigonometric ratios: Trigonometric ratios are the ratios of the sides of a right triangle to
its angles. The three basic trigonometric ratios are sine (sin), cosine (cos), and tangent
(tan).
● SOHCAHTOA: SOHCAHTOA is a mnemonic that can be used to remember the
trigonometric ratios. SOH stands for "sine equals opposite over hypotenuse," CAH
stands for "cosine equals adjacent over hypotenuse," and TOA stands for "tangent
equals opposite over adjacent."
● Unit circle: The unit circle is a circle with a radius of 1 that is centered at the origin of a
coordinate plane. It is used to define trigonometric functions for angles beyond 90
degrees.
● Pythagorean theorem: The Pythagorean theorem states that in a right triangle, the
square of the hypotenuse (the side opposite the right angle) is equal to the sum of the
squares of the other two sides.
● Inverse trigonometric functions: Inverse trigonometric functions are used to find the
angle that corresponds to a given trigonometric ratio. The inverse sine function is
denoted as sin⁻¹, the inverse cosine function is denoted as cos⁻¹, and the inverse tangent
function is denoted as tan⁻¹.
● Trigonometric identities: Trigonometric identities are equations that are true for all values
of the variables involved. Some important trigonometric identities include the
Pythagorean identity (sin²θ + cos²θ = 1), the reciprocal identities (cscθ = 1/sinθ, secθ =
1/cosθ, and cotθ = 1/tanθ), and the quotient identity (tanθ = sinθ/cosθ).
● Applications: Trigonometry has many real-world applications, including in navigation,
surveying, and physics. For example, trigonometry can be used to determine the height
of a tall building, the distance between two points, or the trajectory of a projectile.
(next page contains word problems for trigonometry along with answer key)
The benefits of buying summaries with Stuvia:
Guaranteed quality through customer reviews
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card or Stuvia-credit for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller darshagarwal. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $8.49. You're not tied to anything after your purchase.