"Solving Right Triangles" Acute Trigonometric Functions PPT Courseware 2

Description

"Solving Right Triangles" Acute Trigonometric Functions PPT Courseware 2

learning target

1. Understand the concept of right triangle;

2. Explore the minimum number of elements required to solve a right triangle;

3. Be able to use formulas to solve right triangles.

Solving Right Triangles

1. The relationship between the three parties:

a2+b2=c2

2.The relationship between two acute angles:

∠A+∠B=90°

3. The relationship between corners

Sine function: sinA=opposite/hypotenuse of ∠A

Cosine function: cosA=liminal/hypotenuse of ∠A

Tangent function: tanA=opposite/adjacent side of ∠A

Knowledge explanation

If you know two elements of the five elements (with at least one edge), you can find the remaining three elements.

In a right triangle, except for right angles, the process of finding unknown elements from known elements is called solving a right triangle.

As shown in the figure, in Rt△ABC, ∠C=90°, ∠B=42°6′, c=287.4. Solve this right triangle.

Analysis: ∠A=90°-42°6′=47°54′

From cosB=a/c, we get a=c·cosB=287.4×0.7420=213.3

From sinB=b/c, we get b=c·sinB=287.4×0.6704=192.7

Track training

1. (2010·Jiangxi High School Entrance Examination) As shown in the figure, the top angle of the tree measured from point C is 33º, BC=20 meters, then the height of the tree AB=_____ meters (calculate with a calculator, the result is accurate to 0.1 meters)

Analysis: From tanC=AB/BC, we get

AB=BC·tanC=20×tan33°=13.0

Answer: 13.0

summary:

To solve a right triangle, there are only two situations:

(1) Two sides are known;

(2) One side and one acute angle are known

Practice in class

1. Solve the right triangle according to the following conditions. (accurate to 0.01)

(1) In Rt△ABC, ∠C=90°, �=30, ∠B=80°;

(2) In Rt△ABC, ∠C=90°, c=8, b=4.

2. In ABCD, AB∥CD, AB=4, CD=8, AD=6, ∠D=43°, find the area of ​​the trapezoid. (accurate to 0.01)

Summary of this lesson

Through this lesson, we should master:

1. Understand the concept of right triangle;

2. Explore the minimum number of elements required to solve a right triangle;

3. Be able to use formulas to solve right-angled triangles. Be able to transform mathematical problems into solving right-angled triangle problems.

4. Don’t forget the mathematical thinking method of “turning a slope into a straight line”!

Keywords: Acute angle trigonometric functions teaching courseware, Solving right triangle teaching courseware, New People's Education Edition ninth grade mathematics volume 2 courseware PPT courseware, Ninth grade mathematics slide courseware download, Acute angle trigonometric functions PPT courseware download, Solving right triangle PPT courseware download,. ppt format

For more information about the PPT courseware "Solving Trigonometric Functions of Acute Angles in Right Triangles", please click the "Solving Trigonometric Functions of Acute Angles in Right Triangles ppt" tab.

"Application of Solving Right Triangles" PPT Courseware 2:

"Applications of Solving Right Triangles" PPT Courseware 2 1. Among the angles formed by the line of sight and the horizontal line, the line of sight on the ______ side of the horizontal line is called the elevation angle, and the line of sight on the ______ side of the horizontal line is called the depression angle. 2. As shown in the figure, the ratio hl of the vertical height h of the slope to ___________ is called...

"Solving Right Triangles" PPT Courseware 2:

"Solving Right Triangles" PPT Courseware 2 There are four basic types of right-angled triangles: (1) The hypotenuse and the right-angled side are known; (2) The hypotenuse and an acute angle are known; (3) The hypotenuse and an acute angle are known; ( 4) Given a right angled side and an acute angle, the solution steps are as follows: 1. (3 points)..

"Applications of Solving Right Triangles" PPT courseware:

"Solution to Right Triangle" PPT courseware 2 Review the past and learn new things 1. The relationship between the sides and angles of a right triangle: (1) The relationship between angles: A+B = 90; (2) The relationship between sides: a2+b2=c2; (3) Angle and side The relationship between: sinA=a/c, cosA=b/c, tanA..

File Info

Update Time: 2024-11-04

This template belongs to Mathematics courseware People's Education Press Ninth Grade Mathematics Volume 2 industry PPT template

Preview