"Related Calculations of Trigonometric Functions" The relationship between the sides and angles of a right triangle PPT courseware 3

Description

"Related Calculations of Trigonometric Functions" The relationship between the sides and angles of a right triangle PPT courseware 3

teaching objectives

(1) Teaching knowledge points

1. Experience the process of using a calculator to find the corresponding acute angle from the values ​​of trigonometric functions, and further understand the meaning of trigonometric functions.

2. Be able to use a calculator to calculate the values ​​of trigonometric functions.

3. Be able to use a calculator to assist in solving practical problems involving calculation of trigonometric function values.

(2) Ability training requirements

1. Use calculators to solve practical problems involving trigonometric functions and improve your ability to use modern tools to solve practical problems.

2. Discover the corner-to-corner relationships in practical problems and improve students' ability to think and express in an organized manner.

(3) Emotional and value requirements

1. Actively participate in mathematics activities and experience the joy of solving problems.

2. Develop a pragmatic and rigorous learning attitude.

Can you still complete the following questions about finding angles given the values ​​of trigonometric functions?

1. Find the size of the acute angle θ according to the following conditions:

(1) tanθ=2.9888; (2) sinθ=0.3957;

(3)cosθ=0.7850; (4)tanθ=0.8972;

(5)sinθ＝√3/2; (6)cosθ＝√3/2;

(7)tanθ=22.3; (8)tanθ=√3;

(9)sinθ=0.6; (10)cosθ=0.2.

1. Solution: (1)θ=71°30′2″; (2)θ=23°18′35″;

(3)θ=38°16′46″; (4)θ=41°53′54″;

(5)θ=60°; (6)θ=30°;

(7)θ=87°25′56″; (8)θ=60°;

(9)θ=36°52′12″;

(10)θ=78°27′47″.

2. Every time a certain section of road advances 100 meters, the road surface will rise by 4 meters. Find the slope angle of this section of road.

Solution: Let the slope angle be α. According to the meaning of the question, sinα==0.04, α=2°17′33″.

Therefore, the slope angle of this section of road is 2°17′33″.

Solving Right Triangles

[Shi]When we discuss acute triangle functions, we always put acute angles into right triangles and once again reveal the side-angle relationship in right triangles. Do you know how many elements other than right angles there are in a right triangle?

[Generate]5 elements, two acute angles, two right-angled sides and one hypotenuse.

[Teacher]Based on the knowledge we have learned, do you know the relationship between these sides and angles? Ask the students to think and answer in an organized manner.

[生]In Rt△ABC, ∠C=90°, and the sides opposite to ∠A, ∠B, and ∠C are a, b, and c respectively.

(1) Side relationship: a2+b2=c2 (Pythagorean Theorem);

(2) Angular relationship: ∠A+∠B=90°;

(3) Side-angle relationship: sinA=, cosA=, tanA=; sinB=, cosB=, tanB=.

Lesson Summary

In this lesson, we learned the process of using a calculator to find the corresponding acute angle from the value of a trigonometric function, and further understood the meaning of trigonometric functions. And use the calculator to assist in solving practical problems involving the calculation of trigonometric function values.

Keywords: teaching courseware on the relationship between the sides and angles of a right triangle, teaching courseware on calculations related to trigonometric functions, Beijing Normal University edition mathematics PPT courseware for the second volume of the ninth grade, downloading the ninth grade mathematics slide courseware, downloading PPT courseware on the relationship between the sides and angles of a right triangle, Download PPT courseware related to calculation of trigonometric functions, in .ppt format

For more information about the PPT courseware "Related Calculations of Trigonometric Functions of Side-Angle Relationships of Right Triangles", please click on the ppt tag of Related Calculations of Trigonometric Functions of Side-Angle Relationships of Right Triangles.

"Related Calculations of Trigonometric Functions" Relationship between Sides and Angle of a Right Triangle PPT Courseware 4:

"Related Calculations of Trigonometric Functions" PPT Courseware 4 Side-angle Relationship of a Right-angled Triangle 1. Relationship between the three sides of a right-angled triangle: Pythagorean Theorem a2+b2=c2. 2. Relationship between two acute angles of a right-angled triangle: two The mutual complement of acute angles is A+B=90. 3. Three right angles..

"Related Calculations of Trigonometric Functions" Relationship between sides and angles of right triangles PPT courseware 2:

"Related Calculations of Trigonometric Functions" PPT courseware 2 on the relationship between the sides and angles of a right triangle (1) The relationship between the three sides a+b=c (2) The relationship between the two acute angles A+B=90 (3) The relationship between the sides and angles The relationship between sinA=opposite side of A/hypotenuse=a/c sinA=opposite side of B..

"Related Calculations of Trigonometric Functions" PPT courseware on the relationship between the sides and angles of a right triangle:

"Related Calculations of Trigonometric Functions" PPT courseware on the relationship between the sides and angles of a right triangle is as shown in the figure. When the suspension box of the mountain cable car passes through point A and reaches point B, it has traveled 200m. It is known that the angle between the route of the cable car and the horizontal plane is =16 So how far does the cable car go vertically up? On Rt..

File Info

Update Time: 2024-07-30

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

Preview