What are the mathematical trigonometric and difference product formulas?

Trigonometric and Difference Product Formulas:

sinx+siny=2sin[(x+y)/2]cos[(x-y)/2]

sinx-siny=2cos[(x+y)/2]sin[(x-y)/2]

cosx+cosy=2cos[(x+y)/2]cos[(x-y)/2]

cosx-cosy=-2sin[(x+y)/2]sin[(x-y)/2]

The sum difference product formula, including the sum difference product formula for sine, cosine, and tangent, is a set of identities in trigonometric functions.

When applying the sum and differential products, it must be a trigonometric function with the same name once to be implemented. If it is a different name, it must be formulated with an induction formula to have the same name; If it is a higher-order function, it must be reduced to one time using the power-reduction formula.

The formula for the sum of products is:sin cos = [sin( +sin( -2cos sin =sin( +sin( -2sin sin = [cos( -cos( +cos( +cos( +cos( -2cos( -2cos( -2 and the derivation of the formula for the difference and the difference is very simple.

sin( +sin( -cos( +cos( - This is the most basic trigonometric function.

With the spine elimination formula, you can easily grasp the derivation of 8 formulas.

and the difference product formula.

Formula for the sum of the difference product of trigonometric functions:sinα+sinβ=2sin((α2) ·cos((α2)sinα-sinβ=2cos((α2) ·sin((α2)cosα+cosβ=2cos((α2)·cos((α2)cosα-cosβ=-2sin((α2)·sin((α2)cosα+cosβ=2cos((α2)·cos((α2)=sinx, βx

cossinx+cosx=2cos((sinx+x)/2)·cos((sinx-x)/2)

and Chang Brother Cave Differential Product Formula:

and the difference product formula.

The sum and difference product formulas, including sine, cosine, tangent and cotangent, are a set of identities in trigonometric functions, and there are 10 sets of sum difference product formulas.

When applying the sum product, it must be a trigonometric function of the same name (outside tangent and dust remainder excision) to be implemented. If it is a different name, it must be changed to the same name with the induced male withering tolerance; If it is a higher-order function, it must be reduced to one time using the power-reduction formula.

The sum of the three-type bundle companion angle function is the formula for the difference product of Zheng Eye.

sin +sin =2sin(( 2) ·cos(( 2)sin -sin =2cos(( 2) ·sin(( 2)cos +cos =2cos(( 2)·cos(( 2)cos -cos =-2sin(( Bu stupid2)·sin(( (2)cos +cos =2cos(( 2)·cos(( 2)=sinx, x

cossinx+cosx=2cos((sinx+x)/2)·cos((sinx-x)/2)

What you didn't say should be the sum of trigonometric functions?

<> I took the teachers to teach us to remember this (the equation seeps from right to left) is the sum of the two positives.

The remainder is positive.

The remainder is more than two and more.

Positive and negative remainder differences.

The sum of the three-type bundle companion angle function is the formula for the difference product of Zheng Eye.

sin +sin =2sin(( 2) ·cos(( 2)sin -sin =2cos(( 2) ·sin(( 2)cos +cos =2cos(( 2)·cos(( 2)cos -cos =-2sin(( Bu stupid2)·sin(( (2)cos +cos =2cos(( 2)·cos(( 2)=sinx, x

cossinx+cosx=2cos((sinx+x)/2)·cos((sinx-x)/2)