Jump to content

What is this trigonometric identity?

dcowboys107
in Homework Help

Featured Replies

Rewrite f(x) = 4csc^2(x) + 9tan^2(x) in terms of cos(x).

NOTE: Expressions such as cos^2(x) must be entered as cos(x)^2 or (cos(x))2.

 

I rewrote csc(x)^2 as 1/1-cos(x)^2 and tan^2 as ((1-cos(x)/cos(x))^2

 

I'm having a hard time simplifying that down to just cos(x).

Hello dcowboys107

I rewrote csc(x)^2 as 1/1-cos(x)^2 and tan^2 as ((1-cos(x)/cos(x))^2

About your tan identity... are you sure? Please post your derivation

  • 3 months later...

sin^2(x) + cos^2(x) = 1

 

dividing through by cos^2(x) gives,

 

tan^2(x) + 1 = csc^2(x)

 

and substitute in

Archived

This topic is now archived and is closed to further replies.

Go to topic listing

Important Information

We have placed cookies on your device to help make this website better. You can adjust your cookie settings, otherwise we'll assume you're okay to continue.

Configure browser push notifications
Chrome (Android)
  1. Tap the lock icon next to the address bar.
  2. Tap Permissions → Notifications.
  3. Adjust your preference.
Chrome (Desktop)
  1. Click the padlock icon in the address bar.
  2. Select Site settings.
  3. Find Notifications and adjust your preference.