How does
sin(c+h)=sin(c)xcos(h)+cos(c)xsin(h)
please explain
What you have here is the sum of two angles, which is:
sin(c+h) = sin(c)cos(h) + cos(c)sin(h)
I'm not sure where the "x" comes into play with your equation, is it supposed to be a variable or a multiplier?
To derive the equation
sin(c + h) = sin(c)cos(h) + cos(c)sin(h),
we can use the trigonometric identities for the sum of angles. Let's break down the derivation step-by-step:
Step 1: Start with the trigonometric addition formula for sine:
sin(A + B) = sin(A)cos(B) + cos(A)sin(B).
Step 2: Substitute A = c and B = h:
sin(c + h) = sin(c)cos(h) + cos(c)sin(h).
Therefore, the given equation is just a rearrangement of the trigonometric addition formula for sine.
In general, to derive trigonometric identities, you typically start with well-known identities and apply algebraic manipulations or other trigonometric identities to transform one side of the equation into the other. These identities are often derived geometrically or through the use of the unit circle.