"Application of Acute Angle Trigonometric Functions" PPT courseware

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"Application of Acute Angle Trigonometric Functions" PPT courseware

Review and Thoughts

Relationship between sides and angles of right triangle

The relationship between the three sides of a right triangle: Pythagorean theorem a2+b2=c2.

The relationship between the two acute angles of a right triangle: the two acute angles are complementary to each other: ∠A+ ∠B=900.

The relationship between the sides and angles of a right triangle: acute angle trigonometric functions

The trigonometric function relationship between two angles that are supplementary to each other:

sinA=cosB.

The trigonometric relationship between the same angles:

sin2A+cos2A=1.

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

Question type one

The attached picture shows a church. The elevation angle of the top of the church measured from a point on the ground 200m away from the bottom of the church is 58.6°. Find the height of the church.

(Formula only)

Question type two

As shown in the picture, a fishing boat is chasing a school of fish from west to east at a speed of 30 knots. At point A, it sees small island C in the direction of 60° north by east of the boat; 40 minutes later, the fishing boat travels to point B. At this time Island C is 30° east of north of the ship. It is known that a radius of 10 nautical miles with Island C as the center is a dangerous area with many reefs. If this fishing boat continues to chase the fish to the east, is there any possibility of entering the danger zone? (Practical problems should be mathematicalized first)

Let’s explore together:

1. What is the distance between points A and B?

2. How to calculate the distance from island C to route AB?

3. Under what conditions will a fishing vessel sail into the danger zone?

Tell us what you learned from this class:

What knowledge have you mastered through studying this lesson?

give it a try

Group into groups to go online to find relevant exercises on the application of acute angle trigonometric functions, write them down, and complete them in the group after class. Whichever group finds more types of questions and completes them well, there will be unexpected gains, please wait and see!

Keywords: Teaching courseware on the application of acute angle trigonometric functions, download the ninth grade mathematics PPT courseware for the first volume of the Hebei Education Edition, download the ninth grade mathematics slide courseware, download the PPT courseware on the application of acute angle trigonometric functions, .PPT format;

For more information about the "Application of Acute Angle Trigonometric Functions" PPT courseware, please click on the "Application of Acute Angle Trigonometric Functions" ppt tag.

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Update Time: 2024-09-27

This template belongs to Mathematics courseware Hebei Education Edition Ninth Grade Mathematics Volume 1 industry PPT template

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