Is that really tan(1) and tan(2), as in 1 and 2 radians?diredragon said:Homework Statement
##tanx=\frac{(1+tan1)(1+tan2)-2}{(1-tan1)(1-tan2)-2}## find x
Homework Equations
3. The Attempt at a Solution [/B]
I tried multiplying through the parentheses and arrived at ##tanx=\frac{(tan1tan2-1)+(tan2+tan1)}{(tan1tan2-1)-(tan2+tan1)}## and i don't know if this is any simpler than what was originally set. Is there a trigonometric identity at play here?
It's in degrees. So i divided both num and den by ##tan1tan2 - 1## and i getSammyS said:Whatever it is, divide the numerator & denominator by ##\ tan1\,tan2 -1 \ ##.
##tanx=\frac{1-tan3}{1+tan3}## but that's as far as the simolification goes right? Now the use of calculator is required. It says that the answer is ##x=42## in degrees.NascentOxygen said:Ask google to search on tan(a+b) (or some trig expression like that) and see whether you can substitute something for that expression you have for the term I designated by A.
A trigonometric equation is an equation that involves one or more trigonometric functions, such as sine, cosine, or tangent, and the values of the angles involved.
To solve a trigonometric equation, you must use algebraic techniques to isolate the trigonometric function and then use inverse trigonometric functions to find the angle(s) that satisfy the equation.
Some common strategies for solving trigonometric equations include factoring, using trigonometric identities, applying the unit circle, and using the quadratic formula.
Yes, when solving trigonometric equations, it is important to consider special cases such as the period of the function, the restrictions on the domain, and the multiple solutions that may exist.
Yes, many calculators have built-in functions for solving trigonometric equations. However, it is important to understand the steps involved in solving the equation by hand in order to verify the accuracy of the calculator's solution.