Thadis said:Homework Statement
Write sin(7t)-sin(6t) as a product of two trig. functions.
Homework Equations
e^(ix)=cos(x)+isin(x)
sin(2x)=2cos(x)sin(x)
cos(2x)=cos^2(x)-sin^2(x)
The Attempt at a Solution
I do not really know how to approach this. I have tried using the sin(2x) identity but I could not get the correct answer from it. Can anyone help?
The purpose of manipulating trigonometric functions is to simplify complex expressions and equations involving angles, and to make it easier to solve problems related to triangles and circular motion.
The basic trigonometric identities used in manipulating trig functions include the Pythagorean identities, double angle identities, sum and difference identities, and power reduction identities.
To find the values of unknown angles, you can use trigonometric equations and identities to manipulate the given functions and solve for the unknown angle using algebraic techniques.
Yes, trigonometric functions can be manipulated using calculus techniques such as derivatives and integrals to find maximum and minimum values, rates of change, and areas under curves.
Manipulating trigonometric functions is used in many fields such as engineering, physics, and astronomy to solve problems related to waves, vibrations, electricity, and motion. It is also used in navigation, architecture, and surveying to calculate distances and angles.