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Mathematical knowledge points of 20 18 senior high school entrance examination: the relationship between trigonometric function of the same angle and complementary angle
# Education # Introduction A new cycle of preparing for the senior high school entrance examination has officially begun. There is no review strategy for junior high school candidates, mainly including the required test sites, knowledge points, review methods and answering skills. I hope all candidates can get excellent results in the exam! The following is "Knowledge Points of Mathematics in the Senior High School Entrance Examination of 20 18: The Relationship between Isometric Trigonometric Function and Complementary Triangular Function", for reference only!

The relationship between conformal trigonometric function and complementary trigonometric function

The relationship between trigonometric functions with the same angle;

Square relation:

sin^2(α)+cos^2(α)= 1

tan^2(α)+ 1=sec^2(α)

cot^2(α)+ 1=csc^2(α)

Relationship between products:

sinα=tanα cosα

cosα=cotα sinα

tanα=sinα secα

cotα=cosα cscα

secα=tanα cscα

cscα=secα cotα

Reciprocal relationship:

tanα cotα= 1

sinα cscα= 1

cosα secα= 1

In the right triangle ABC,

The sine value of angle a is equal to the ratio of the opposite side to the hypotenuse of angle a,

Cosine is equal to the adjacent side of angle a than the hypotenuse.

The tangent is equal to the opposite side of the adjacent side,

Cotangent equals the comparison of adjacent edges.

The relationship between trigonometric functions of complementary angles;

sin(90 -α)=cosα,cos(90 -α)=sinα,

tan(90 -α)=cotα,cot(90 -α)=tanα。