Solving the Tricky Math Problem: Find sin2x

  • Thread starter Thread starter sigma128
  • Start date Start date
AI Thread Summary
The discussion revolves around solving the equation sin x + cos x + tan x + cosec x + sec x + tan x + cot x = 8 to find sin 2x. Participants emphasize the importance of rewriting all trigonometric functions in terms of sine and cosine to simplify the problem. There is a concern about the accuracy of the equation, particularly regarding the repetition of tan x and the total number of terms. By expressing each term as a ratio, it becomes possible to combine them over a common denominator and apply trigonometric identities for simplification. Ensuring the problem is copied correctly is crucial for finding a viable solution.
sigma128
Messages
11
Reaction score
0

Homework Statement




sin x+cos x + tan x + cosec x + sec x+tan x +cot x = 8

find sin2x=?

i still have no idea to deal with this problem, hint please
 
Physics news on Phys.org
Look up the identities for rewriting cos tan etc in terms of sin.
 
Write out each term that isn't sin x or cos x in terms of its definition as a ratio of sine and/or cosine. (Does tan x really appear twice? How many terms are there supposed to be? Is this copied correctly? I ask so we don't waste time trying to solve the wrong problem... Are you sure this isn't

[sin x·cos x] + tan x + cosec x + [sec x·tan x] + cot x , for instance?)

You will now have a set of terms that you can add as fractions by putting everything over a common denominator. You will be able to make some simplifications in the numerator using trig identities. You should end up with something easier to work with. (But make sure this is copied right, or a solution will be truly hopeless...)
 

Thread 'Family of lines that are at a distance of 5 from the origin'

I picked up this problem from the Schaum's series book titled "College Mathematics" by Ayres/Schmidt. It is a solved problem in the book. But what surprised me was that the solution to this problem was given in one line without any explanation. I could, therefore, not understand how the given one-line solution was reached. The one-line solution in the book says: The equation is ##x \cos{\omega} +y \sin{\omega} - 5 = 0##, ##\omega## being the parameter. From my side, the only thing I could...
View full post »

Similar threads

Solving a trigonometric equation with multiples of ##\tan##
Replies
7
Views
2K
Solve the given trigonometry problem
Replies
7
Views
1K
Why Is My Argument Calculation for Complex Number Incorrect?
Replies
14
Views
2K
Trigonometric Identities and equations
Replies
4
Views
2K
Solving a Trigonometric Equation
Replies
3
Views
2K
How Do You Simplify Trigonometric Expressions Using Basic Identities?
Replies
5
Views
2K
Integrate [cosec(30°+x)-cosec(60°+x)] dx in terms of tan x
Replies
3
Views
1K
Unsure if this is a trig identity or calculus
Replies
7
Views
2K
Solving an equation for ##x## involving inverse circular functions
Replies
15
Views
2K
Prove the trigonometry identity and hence solve given problem
Replies
5
Views
2K

Hot Threads

Recent Insights

Back
Top