Sorting out the Inductive Formula of Trigonometric Function in Senior High School Mathematics (2)

Click to view: high school mathematical formula daquan and commonly used formulas for college entrance examination.

Sine, cosine and tangent formulas of double angles

sin2？ =2sin？ Because?

cos2？ =cos2(？ )-sin2(？ )=2cos2(？ )- 1= 1-2sin2(？ )

tan2？ =2tan？ /[ 1-tan2(？ )]

Tan [( 1/2)? ] = (sin? )/( 1+cos？ )=( 1-cos？ )/sin?

Sine, cosine and tangent formulas of half angle

sin2(？ /2)=( 1-cos？ )/2

cos2(？ /2)=( 1+cos？ )/2

tan2(？ /2)=( 1-cos？ )/( 1+cos？ )

Tan (? /2)=( 1? Because? )/sin? = sin? / 1+cos？

General formula of trigonometric function

Sin? =2tan(？ /2)/[ 1+tan2(？ /2)]

Because? =[ 1-tan2(？ /2)]/[ 1+tan2(？ /2)]

Tan? =[2tan(？ /2)]/[ 1-tan2(？ /2)]

Sine, cosine and tangent formulas of triple angle

sin3？ =3sin？ -4sin3(？ )

cos3？ =4cos3(？ )-3cos？

tan3？ =【3 tan？ -tan3(？ )]/[ 1-3tan2(？ )]

Sum and difference product formula of trigonometric function

Sin? +sin? =2sin[(？ +? )/2]cos[(？ -? )/2]

Sin? Sin? =2cos[(？ +? ) /2] sin [(? -? )/2]

Because? +cos？ =2cos[(？ +? )/2]cos[(？ -? )/2]

Because? Because? =-2sin[(？ +? ) /2] sin [(? -? )/2]

Formula of product and difference of trigonometric function

Sinkos? =0.5[sin(？ +? )+sin(？ -? )]

Cousin? =0.5[sin(？ +? )-sin (? -? )]

coscos？ =0.5[cos(？ +? )+cos(？ -? )]

Xin Xin? =-0.5[cos(？ +? )-cos(？ -? )]

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