Shape 3 Facts

Question 1

What do we call the longest side of a right-angled triangle?

Answer 1

Hypotenuse

Question 2

What is a hypotenuse?

Answer 2

The longest side of a right-angled triangle, opposite the right angle.

Question 3

Write down Pythagoras’ Theorem

Answer 3

a² + b² = c² (or hypotenuse²)

Question 4

A right-angled triangle’s two shortest sides are 3cm and 4cm long. How long is its hypotenuse?

Answer 4

5cm

Question 5

When finding the length of the hypotenuse in a right-angled triangle, do you add or subtract the squares of the other two sides?

Answer 5

Add

Question 6

In a right-angled triangle with angle x, how do we find cos x?

Answer 6

cos x = adjacent / hypotenuse

Question 7

In a right-angled triangle with angle x, how do we find sin x?

Answer 7

sin x = opposite / hypotenuse

Question 8

In a right-angled triangle with angle x, how do we find tan x?

Answer 8

tan x = opposite / adjacent

Question 9

Which trigonometric ratio should be used when, in a right-angled triangle, the lengths of the hypotenuse and the side opposite the angle are known?

Answer 9

Sine

Question 10

Which trigonometric ratio should be used when, in a right-angled triangle, the lengths of the hypotenuse and the side ajacent to the angle are known?

Answer 10

Cosine

Question 11

Which trigonometric ratio should be used when, in a right-angled triangle, the lengths of the sides opposite and adjacent to the angle are known?

Answer 11

Tangent

Question 12

What formula can you use to find the area of a triangle when you are given two sides and the included angle?

Answer 12

Half x a x b x sin(C)

Question 13

Write down the cosine rule in terms of a²

Answer 13

a² = b² + c² - 2bcCosA

Question 14

Write down the Sine Rule

Answer 14

a/sin(A) = b/sin(B)

Question 15

“Half x a x b x sin(C)” is a formula that can be used to calculate what?

Answer 15

Area of a triangle

Question 16

When labelling a diagram of a triangle for trigonometry what do capital letters represent?

Answer 16

Angles

Question 17

When labelling a diagram of a triangle for trigonometry what do small letters represent?

Answer 17

Sides

Question 18

What’s the value of sin 90?

Answer 18

1

Question 19

What’s the value of sin 30?

Answer 19

Half

Question 20

What’s the value of cos 0?

Answer 20

1

Question 21

What’s the value of cos 90?

Answer 21

0

Question 22

What’s the value of sin 45?

Answer 22

√2/2

Question 23

What’s the value of cos 45?

Answer 23

√2/2

Question 24

What’s the value of tan 45?

Answer 24

1/√3

Question 25

Which trigonometric graphs go through the origin?

Answer 25

Sine and Tangent

Question 26

Which trigonometric graph has a period of 180 degrees?

Answer 26

Tangent

Question 27

Which trigonometric graph passes through the co-ordinate (0,1)?

Answer 27

Cosine

Question 28

Which trigonometric graphs have a period of 360 degrees?

Answer 28

Sine and Cosine

Question 29

What is the maximum value the sine graph reaches?

Answer 29

1