# Trigonometry: Solving Simple Math Questions

Trigonometry: Solving Simple Math Questions
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Slide 1: Slide
MathematicsUpper Secondary (Key Stage 4)GCSE

This lesson contains 23 slides, with interactive quizzes and text slides.

Lesson duration is: 90 min

## Items in this lesson

Trigonometry: Solving Simple Math Questions

#### Slide 1 -Slide

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Learning Objective
At the end of the lesson you will be able to answer simple math questions on trigonometry.

#### Slide 2 -Slide

Introduce the learning objective and explain to students what they will learn in this lesson.

#### Slide 3 -Mind map

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What is Trigonometry?
Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of triangles.

#### Slide 4 -Slide

Introduce the definition of trigonometry and explain its relevance in solving math problems.
Trigonometric Functions
Trigonometric functions include sine, cosine, and tangent.

#### Slide 5 -Slide

Explain the three basic trigonometric functions and their relationship to right triangles.
Sine Function
The sine function is defined as the ratio of the length of the side opposite an angle to the length of the hypotenuse.

#### Slide 6 -Slide

Explain the sine function and provide an example of how to use it to solve a math problem.
Cosine Function
The cosine function is defined as the ratio of the length of the adjacent side to the length of the hypotenuse.

#### Slide 7 -Slide

Explain the cosine function and provide an example of how to use it to solve a math problem.
Tangent Function
The tangent function is defined as the ratio of the length of the opposite side to the length of the adjacent side.

#### Slide 8 -Slide

Explain the tangent function and provide an example of how to use it to solve a math problem.
Pythagorean Theorem
The Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of the hypotenuse.

#### Slide 9 -Slide

Explain the Pythagorean theorem and how it can be used in solving trigonometry problems.
Inverse Trigonometric Functions
Inverse trigonometric functions are used to find the angle given the ratio of the sides.

#### Slide 10 -Slide

Introduce the concept of inverse trigonometric functions and provide an example of how to use them.
Example Problem 1
Find the value of sin(30°).

#### Slide 11 -Slide

Provide an example problem using the sine function and guide students through the steps to solve it.
Example Problem 2
Find the value of tan(45°).

#### Slide 12 -Slide

Provide an example problem using the tangent function and guide students through the steps to solve it.
Example Problem 3
Find the value of cos(60°).

#### Slide 13 -Slide

Provide an example problem using the cosine function and guide students through the steps to solve it.
Example Problem 4
Find the value of x in the right triangle given that the two legs are 3 and 4.

#### Slide 14 -Slide

Provide an example problem using the Pythagorean theorem and guide students through the steps to solve it.
Example Problem 5
Find the value of θ in the right triangle given that the adjacent side is 4 and the hypotenuse is 5.

#### Slide 15 -Slide

Provide an example problem using inverse trigonometric functions and guide students through the steps to solve it.
Review
Review the basic concepts of trigonometry and the different functions.

#### Slide 16 -Slide

Summarize the main points of the lesson and ask students if they have any questions.
Practice Problems
Provide a set of practice problems for students to solve.

#### Slide 17 -Slide

Give students time to work on the practice problems and provide assistance as needed.
Provide the answer key for the practice problems.

#### Slide 18 -Slide

Review the answers to the practice problems with students.
Real-Life Applications
Discuss the real-life applications of trigonometry such as architecture, engineering, and physics.

#### Slide 19 -Slide

Engage students in a discussion about how trigonometry is used in everyday life.
Conclusion
Summarize the main concepts learned in the lesson and encourage students to continue practicing.

#### Slide 20 -Slide

End the lesson by summarizing the main points and encouraging students to continue practicing.
Write down 3 things you learned in this lesson.

#### Slide 21 -Open question

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.
Write down 2 things you want to know more about.

#### Slide 22 -Open question

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.