Problem with using Power-Reducing Trigonometric identities

Click For Summary
The discussion focuses on simplifying the expression Tan^3Theta using trigonometric identities. The key equation mentioned is Tan^2Theta=1-cos2Theta/1+cosTheta, which aids in the reduction process. Participants suggest replacing tan with sin/cos to eliminate higher powers. The importance of not overcomplicating the problem is emphasized, highlighting a common challenge in trigonometric simplifications. Ultimately, the goal is to express the function without any terms with a power greater than one.
greerhead
Messages
3
Reaction score
0

Homework Statement


Tan^3Theta


Homework Equations



Tan^2Theta=1-cos2Theta/1+cosTheta

The Attempt at a Solution


Attached
 

Attachments

  • WP_000488.jpg
    WP_000488.jpg
    10.6 KB · Views: 476
Physics news on Phys.org
What are you trying to reduce it to?
 
until there are no terms with a power greater than 1
 
greerhead said:
until there are no terms with a power greater than 1

Then you can just replace tan by sin/cos in your third line and multiply out and you will have no term whose power is greater than one.
 
Thanks! I was over complicating it, like usual.
 

Similar threads

Find theta given known cos and sin....
  • · Replies 30 ·
2
Replies
30
Views
5K
Proof of an inverse trigonometric identity
  • · Replies 6 ·
Replies
6
Views
2K
Trigonometric equation solving 2cos x=tan x
  • · Replies 6 ·
Replies
6
Views
3K
Sin^4Ө =3/8-3/8cos(2Ө) Prove the following trigonometric identity
  • · Replies 6 ·
Replies
6
Views
2K
Solving a trigonometric equation with multiples of ##\tan##
  • · Replies 7 ·
Replies
7
Views
2K
Trigonometric Equations Problems - Rather Confused
  • · Replies 1 ·
Replies
1
Views
2K
State the exact values of all the trigonometric rations for theta.
  • · Replies 12 ·
Replies
12
Views
2K
Changing ##\tan\frac{x}{2}## to ##\cos x## for a proof
  • · Replies 8 ·
Replies
8
Views
2K
Need help with a trigonometric expression
  • · Replies 4 ·
Replies
4
Views
2K
Solution to this trigonometric equation
  • · Replies 8 ·
Replies
8
Views
2K