Trig

• Wiskunde
• Middelbare school
• vwo
• Leerjaar 3

Which trigonometric function would you use to calculate the missing side?

1. sine
2. cosine
3. tangent

SOH CAH TOA

Think about which two sides we care about in this question.

We are given the hypotenuse.

We need to work out the opposite.

So we use the sine function.

Calculate the length of the side with the question mark to 1 decimal place.

Which function would you use to calculate angle M?

1. sin​−1​​
2. cos​−1​​
3. tan​−1​​

SOH CAH TOA

Same idea:

You must then do the inverse:

tanM=​A​​O​​=​7​​4​​

tan​−1​​(​7​​4​​)=M

Calculate angle L to one decimal place.

Average slope

This percentage tells you how much you rise compared to how far you travel.

So here, for every kilometre you travel horizontally, you rise by 200 m.

1000⋅20%=200

​horizontal​​vertical​​⋅100=avg.slope

What is the average slope between the summit of Mont Blanc and La Fouly? (to the nearest integer)

What is the angle of elevation from point A to B? (to 1 d.p.)