Exam (elaborations)
PCHA midterm with complete verified solutions 2024.
- Course
- Institution
PCHA midterm with complete verified solutions 2024.
[Show more]
Content preview
PCHA midterm withcomplete verified
solutions 2024
sin (u +/- v) - answer sin(u)cos(v) +/- cos(u)sin(v)
cos (u +/- v) - answer cos(u)cos(v) +/- sin(u)sin(v)
sin(2u) - answer 2sin(u)cos(u)
sin(3x) - answer 3 sin(x) - 4 sin^3(x)
cos(2u) - answer cos^2(u)-sin^2(u)
1 - 2sin^2(u)
2cos^2(u) - 1
cos(3x) - answer 4cos^3(x) - 3cos(x)
tan(u +/- v) - answer tan(u) +/- tan(v) // 1 -/+ tan(u)tan(v)
tan(2u) - answer 2tan(u) // 1 - tan^2(u)
half-angle -- sin(u) - answer find sin(u) from 1 - 2sin^2(u)
half-angle -- cos(u) - answer find cos(u) from 2cos^2(u) - 1
, f(x + y) - answer f(x) + f(y)
even identities - answer f(-x) = f(x)
y = cos(x)
odd identities - answer f(-x) = -f(x)
y = sin(x)
y = tan(x)
pythagorean identities - answer sin^2(x)+cos^2(x)=1
1+tan^2(x)=sec^2(x)
1+cot^2(x)=csc^2(x)
co-function identities - answer csc(π/2 - x) = sec(x)
cos(π/2 - x) = sin(x)
cot(π/2 - x) = tan(x)
law of sines - answer sinA/a=sinB/b=sinC/c
law of cosines - answer c²=a²+b²-2abcosC
inverse restrictions - answer sin(x) = [-π/2, π/2]
csc(x) = [-π/2, π/2]
tan(x) = [-π/2, π/2]
cot(x) = [0, π]
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 BRAINBOOSTERS. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for $14.49. You're not tied to anything after your purchase.
Can Stuvia be trusted?
4.6 stars on Google & Trustpilot (+1000 reviews)
75759 documents were sold in the last 30 days
Founded in 2010, the go-to place to buy study notes for 14 years now