Solving Trigonometric Equations with Inverse Functions

Solving trigonometric equations

Explicit teaching

Solving trigonometric equations –

part 1

Solutions to trigonometric equations

Worked example

SHIFT

SIN

Your turn

This Photo

 by Unknown Author is licensed under

CC BY-NC

Solving trigonometric equations –

part 2

Solutions to trigonometric equations

Worked example

SHIFT

TAN

How do we

convert the angle

to degrees and

minutes?

Your turn

This Photo

 by Unknown Author is licensed under

CC BY-NC

Success criteria

•

I can solve trigonometric equations using the inverse trigonometric functions on a calculator.

Slide Note

Worked example:

• Reveal the question and its solution

• Students read in silence

• Students explain to themselves what is happening in the examples

• Thumb up when finished reading

• Explain to a partner

• Answer self-explanation questions

• Share answers with whole class

Your turn

Students now try this example on their own.

Give them time before revealing the answers.

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Learn how to solve trigonometric equations using inverse trigonometric functions with step-by-step examples. Understand the concept of sin⁻¹, cos⁻¹, and tan⁻¹ functions to find angles corresponding to specific trigonometric values. Practice solving equations and converting angles to degrees and minutes. Master the success criteria for using inverse trigonometric functions on a calculator for accurate results.

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Presentation Transcript

Solving trigonometric equations Explicit teaching

Solving trigonometric equations part 1 Solutions to trigonometric equations Worked example What is sin 1 doing? sin 1 works to undo sin Solve sin(?) = 0.87 SIN SHIFT sin 1(sin?) = sin 1(0.87) ? = sin 1(0.87) ? = 60 Why do we get an angle when we apply sin 1 sin value. sin 1 takes an angle and gives a takes a value and gives an angle. Your turn Solve tan(?) = 2 tan 1(tan?) = tan 1(2) ? = tan 1(2) ? = 63.435? ? = 63?26 2 This Photo by Unknown Author is licensed under CC BY-NC

Solving trigonometric equations part 2 Solutions to trigonometric equations Worked example Solve tan ? =1 What is tan 1 doing? 6 tan 1 works to undo tan SHIFT tan 1(tan?) = tan 11 TAN 6 ? = tan 11 6 How do we convert the angle to degrees and minutes? ? = 9 28 Your turn Solve cos? =3 cos 1(cos?) = cos 13 4 4 ? = cos 13 4 ? = 41.4096? ? = 41?25 3 This Photo by Unknown Author is licensed under CC BY-NC