Single Trigonometric Functions ( trig identities)

AI Thread Summary
The discussion focuses on simplifying the expression (cos^2x - sin^2x) / (2sinxcosx) into a single trigonometric function. The initial attempt involves substituting cos^2x with 1 - sin^2x, leading to the expression 1 - sin^2x / (2sinxcosx). Participants are encouraged to utilize double angle formulas to aid in simplification. A hint suggests considering the identities for sin(a + b) when a and b are identical. The goal is to express the original equation in a more manageable form using known trigonometric identities.
imxaxpunk
Messages
1
Reaction score
0

Homework Statement



Cos^2x-Sin^2x/2 SinxCosx



The Attempt at a Solution



I changed cos^2x to 1- sin^2x

which then the equation was 1- s sin^2x/2snxcosx and i have no idea how to make this a single trig. function
 
Physics news on Phys.org
If you can't see it immediately then, what is 1-2sin2x the same as? What is 2sinxcosx the same as?

Hint: Look up your double angle formulas.
 
**Hint**

sin(a+b)=sina \cdot cosb+sinb \cdot cosa

What if a and b where the same number...
 

Similar threads

[ASK] Trigonometric Inequality
Replies
6
Views
1K
Solving a trigonometric equation with multiples of ##\tan##
Replies
7
Views
2K
Trigonometric equation solving 2cos x=tan x
Replies
6
Views
3K
Proving trig identities -- Is the method related to the unit circle?
2
Replies
54
Views
3K
Trigonometric Equations Problems - Rather Confused
Replies
1
Views
2K
Proof of an inverse trigonometric identity
Replies
6
Views
2K
Using Power Reducing Formulas to rewrite Trig Expressions
Replies
7
Views
2K
Need help with a trigonometric expression
Replies
4
Views
2K
How Do You Simplify Trigonometric Expressions Using Basic Identities?
Replies
5
Views
2K
How to Solve a Trigonometry Equation Using Identities and Alternative Methods?
Replies
7
Views
2K

Hot Threads

Recent Insights

Back
Top