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This page contains two privacy policies, one relating to this site, the other relating to the iOS and Android apps.

17Calculus Site Privacy Policy

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California Online Privacy Protection Act Compliance

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Children’s Online Privacy Protection Act Compliance

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Information for European Union Customers

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International Transfers of Information

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Contacting Us

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Changes to This Policy

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January 8, 2020: First published.

17Calculus and 17Precalculus iOS and Android Apps Privacy Policy

The 17Calculus and 17Precalculus iOS and Android apps are no longer available for download. However, if you are still using a previously downloaded app, here is the privacy policy.
Note: Your apps will be available until the end of 2020, after which the information may no longer be available. However, do not despair. All the information (and more) is now available on 17calculus.com for free.

17Calculus and 17Precalculus Apps Privacy Policy

This policy applies to all information collected or submitted on 17Calculus or 17Precalculus websites and our apps for iPhone and any other devices and platforms.

Information We Collect

We do not collect or store any user information. We do not require an account to use our websites or apps.

Ads and Analytics

17Calculus and 17Precalculus apps do not collect or store any user data. We use tracking links to track access of pages and practice problems on our websites. These analytics store information, which we use only to track general usage so that we can improve our websites and apps. We do not pass on any information whatsoever to other organizations or individuals in any form.
No personal data is used to target 17Calculus or 17Precalculus ads.

Information Usage

We use the information we collect to operate and improve our website, apps, and customer support.
We may disclose your information in response to subpoenas, court orders, or other legal requirements; to exercise our legal rights or defend against legal claims; to investigate, prevent, or take action regarding illegal activities, suspected fraud or abuse, violations of our policies; or to protect our rights and property.
In the future, we may sell to, buy, merge with, or partner with other businesses. In such transactions, user information may be among the transferred assets.

Security

We implement a variety of security measures to help keep your information secure. For instance, all communication with the app and website requires HTTPS with certificate pinning.

Third-party Links and Content

17Calculus and 17Precalculus displays links and content from third-party sites. These have their own independent privacy policies, and we have no responsibility or liability for their content or activities.

California Online Privacy Protection Act Compliance

We comply with the California Online Privacy Protection Act. We therefore will not distribute your personal information to outside parties without your consent.

Children’s Online Privacy Protection Act Compliance

We never collect or maintain information at our website from those we actually know are under 13, and no part of our website is structured to attract anyone under 13.

Information for European Union Customers

By using 17Calculus and 17Precalculus, you authorize us to collect, use, and store your information outside of the European Union.

International Transfers of Information

Information may be processed, stored, and used outside of the country in which you are located. Data privacy laws vary across jurisdictions, and different laws may be applicable to your data depending on where it is processed, stored, or used.

Your Consent

By using our sites or apps, you consent to our privacy policy.

Contacting Us

If you have questions regarding this privacy policy, you may email support[at]17calculus[dot]com.

Changes to This Policy

If we decide to change our privacy policy, we will post those changes on this page.
October 24, 2019: First published.

You CAN Ace Calculus

Trig Formulas

The Unit Circle

The Unit Circle [wikipedia]

Basic Trig Identities

Set 1 - basic identities

\(\displaystyle{ \tan(t) = \frac{\sin(t)}{\cos(t)} }\)

\(\displaystyle{ \cot(t) = \frac{\cos(t)}{\sin(t)} }\)

\(\displaystyle{ \sec(t) = \frac{1}{\cos(t)} }\)

\(\displaystyle{ \csc(t) = \frac{1}{\sin(t)} }\)

Set 2 - squared identities

\( \sin^2t + \cos^2t = 1\)

\( 1 + \tan^2t = \sec^2t\)

\( 1 + \cot^2t = \csc^2t\)

Set 3 - double-angle formulas

\( \sin(2t) = 2\sin(t)\cos(t)\)

\(\displaystyle{ \cos(2t) = \cos^2(t) - \sin^2(t) }\)

Set 4 - half-angle formulas

\(\displaystyle{ \sin^2(t) = \frac{1-\cos(2t)}{2} }\)

\(\displaystyle{ \cos^2(t) = \frac{1+\cos(2t)}{2} }\)

Trig Derivatives

\(\displaystyle{ \frac{d[\sin(t)]}{dt} = \cos(t) }\)

 

\(\displaystyle{ \frac{d[\cos(t)]}{dt} = -\sin(t) }\)

\(\displaystyle{ \frac{d[\tan(t)]}{dt} = \sec^2(t) }\)

 

\(\displaystyle{ \frac{d[\cot(t)]}{dt} = -\csc^2(t) }\)

\(\displaystyle{ \frac{d[\sec(t)]}{dt} = \sec(t)\tan(t) }\)

 

\(\displaystyle{ \frac{d[\csc(t)]}{dt} = -\csc(t)\cot(t) }\)

Inverse Trig Derivatives

\(\displaystyle{ \frac{d[\arcsin(t)]}{dt} = \frac{1}{\sqrt{1-t^2}} }\)

 

\(\displaystyle{ \frac{d[\arccos(t)]}{dt} = -\frac{1}{\sqrt{1-t^2}} }\)

\(\displaystyle{ \frac{d[\arctan(t)]}{dt} = \frac{1}{1+t^2} }\)

 

\(\displaystyle{ \frac{d[\arccot(t)]}{dt} = -\frac{1}{1+t^2} }\)

\(\displaystyle{ \frac{d[\arcsec(t)]}{dt} = \frac{1}{\abs{t}\sqrt{t^2 -1}} }\)

 

\(\displaystyle{ \frac{d[\arccsc(t)]}{dt} = -\frac{1}{\abs{t}\sqrt{t^2 -1}} }\)

Trig Integrals

\(\int{\sin(x)~dx} = -\cos(x)+C\)

 

\(\int{\cos(x)~dx} = \sin(x)+C\)

\(\int{\tan(x)~dx} = -\ln\abs{\cos(x)}+C\)

 

\(\int{\cot(x)~dx} = \ln\abs{\sin(x)}+C\)

\(\int{\sec(x)~dx} = \) \( \ln\abs{\sec(x)+\tan(x)}+C\)

 

\(\int{\csc(x)~dx} = \) \( -\ln\abs{\csc(x)+\cot(x)}+C\)

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The 17Calculus and 17Precalculus iOS and Android apps are no longer available for download. If you are still using a previously downloaded app, your app will be available until the end of 2020, after which the information may no longer be available. However, do not despair. All the information (and more) is now available on 17calculus.com for free.

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