Trigonometry Olivia Miller

WHAT IS TRIGONOMETRY?

The Sides

We are trying to find this angle

Can you label the sides?

Using the Triangles to find the Angle

SOH

A Practice Question 12 7 A 4

Find the Opposite and Hypotenuse 12 7 A

This is what you need to put into your calculator: Opposite = 7 Hypotenuse = 12 35.69 Give it to 2 decimal places

CAH

A Practice Question 12 7 A 4

Find the Adjacent and Hypotenuse 12 A 4

This is what you need to put into your calculator: Adjacent = 4 Hypotenuse = 12 70.53 Give your answer to 2 decimal places

TOA CAH

A Practice Question 12 7 A 4

Find the Opposite and Adjacent 7 A 4

What You Need To Put Into Your Calculator: Opposite = 7 Adjacent = 4 60.26 Give your answer to 2 decimal places

Now try and find the Angle labelled A Practice Question: Explained Now try and find the Angle labelled A 12 70.53 4 A

Practice Question Explained Find Out Which Sides You Have, therefore which triangle you will need to use. Substituting into the formula What to put into the calculator

Using the Triangles to find the Sides

The Triangles

Don’t Press SHIFT this time 10 Hyp - ? Opposite Divided By Sin 5 ÷ sin(30) Opp - 5 Don’t Press SHIFT this time 30

Give your answer to 1 decimal place 8.7 Hyp - 10 cos(30)= A ÷ 10 × 10 × 10 cos(30) × 10 Give your answer to 1 decimal place Adj - ? 30

Give your answer to 1 decimal place 8.7 Tan(30) = 5 ÷ A Opp - 5 Adj - ? 30 Give your answer to 1 decimal place

Example Question: 13 ??? 45 Give your answer to 1 decimal place Find the Hypotenuse Triangles Give your answer to 1 decimal place 13 ??? 45 Explain

Example Question Explained! Find out what triangle you need What to put into the calculator 13 ÷ sin(45) Checking your answer 18.4

What did we learn?

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