"Values ​​of trigonometric functions for angles of 30°, 45°, and 60°" Relationship between sides and angles of right triangles PPT courseware 2

Description

"Values ​​of trigonometric functions for angles of 30°, 45°, and 60°" Relationship between sides and angles of right triangles PPT courseware 2

Review and consolidate

As shown in the figure, in Rt△ABC, ∠C=90°.

(1) The relationship between a, b, and c is ______,

∠A+∠B=______.

(2) sinA=______,

cosA=______，

tanA=______.

sinB=______,

cosB=______，

tanB=______.

(3) If A=30°, then =______.

activity exploration

In order to measure the height of a big tree, the following measuring tools are prepared:

①A triangle ruler with two acute angles of 30° and 60°;

②Tape measure.

Please design a measurement plan that can measure the height of a big tree.

Explore trigonometric function values ​​for an angle of 30°

①Observe a set of triangles. How many acute angles are there? How many degrees do they equal?

② What is sin30°? How did you get it? Communicate with your peers.

③What is cos30° equal to? What is tan30°?

2. We found three trigonometric function values ​​for the 30° angle, and two special angles - 45° and 60°. What are their trigonometric function values? How did you get them?

Example explanation

Example 1 Calculation:

(1)sin300+cos450;

(2) sin2600+cos2600+tan450

Teacher Tips:

Sin2600 means (sin600)2,

cos2600 means (cos600)2, and so on.

knowledge application

calculate:

(1)sin600-cos450;

(2)cos600+tan600;

Summary and expansion

Look at the pictures and talk:

The relationship between the three sides of a right triangle.

The relationship between the two acute angles of a right triangle.

The relationship between the sides and angles of a right triangle.

Trigonometric function values ​​of special angles 300, 450, and 600.

The trigonometric function relationship between two angles that are complementary to each other.

Trigonometric functions between the same angles

Keywords: teaching courseware on the relationship between sides and angles of a right triangle, teaching courseware on trigonometric function values ​​of angles 30°, 45° and 60°, Beijing Normal University edition ninth grade mathematics volume 2 PPT courseware, ninth grade mathematics slide courseware download, sides of a right triangle Angle relationship PPT courseware download, trigonometric function values ​​of 30°45°60° angle PPT courseware download, .ppt format

For more information about the PPT courseware "The relationship between the sides and angles of a right triangle and the value of the trigonometric function of the angle 30°45°60°", please click the "The relationship between the sides and angles of a right triangle ppt The value of the trigonometric function of the angle 30°45°60°" ppt tag.

"Values ​​of trigonometric functions for angles of 30°, 45°, and 60°" Relationship between sides and angles of right triangles PPT courseware 4:

"Values ​​of trigonometric functions of angles 30, 45, and 60" PPT courseware 4 on the relationship between the sides and angles of a right triangle. The problem is as shown in the figure. In Rt△ABC, C=90AC=aA=30. Find BC. Analysis 1. From C=90A=30 we think What? 2. Assume BC=x, then what is AB equal to? 3. Next, as...

"Values ​​of trigonometric functions for angles of 30°, 45°, and 60°" The relationship between the sides and angles of a right triangle PPT courseware 3:

"Trigonometric Function Values ​​of 30, 45, and 60 Angle" PPT courseware on the relationship between the sides and angles of a right triangle 3 Thinking How many different acute angles are there in the two set square rulers? Find the sine, cosine and tangent values ​​of these acute angles respectively. Example 1: Find the values ​​of the following formulas: (1) 2sin26..

"Values ​​of trigonometric functions for angles of 30°, 45°, and 60°" PPT courseware on the relationship between the sides and angles of a right triangle:

"Trigonometric Function Values ​​of Angle 30, 45, and 60" PPT courseware on the relationship between the sides and angles of a right triangle. Learning objectives of this lesson: 1. Use the definition of trigonometric functions to find the trigonometric function values ​​of the special angles 30, 45, and 60. 2. Be able to perform 30, 45. Calculation of trigonometric function values ​​of 60 angles. 3. Can...

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Update Time: 2024-09-23

This template belongs to Mathematics courseware Beijing Normal University Ninth Grade Mathematics Volume 2 industry PPT template

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