3 geometry and trigonometry

Question 1

cos 60

Answer 1

1/2

Question 2

sin 45

Answer 2

1/root 2

Question 3

tan 45

Answer 3

1

Question 4

cos 30

Answer 4

root 3 / 2

Question 5

sin 90

Answer 5

1

Question 6

tan 30

Answer 6

1 / root 3

Question 7

cos 120

Answer 7

-1/2

Question 8

tan 120

Answer 8

• root 3

Question 9

pi/6

Answer 9

30

Question 10

pi/4

Answer 10

45

Question 11

pi/3

Answer 11

60

Question 12

pi/2

Answer 12

90

Question 13

cos ² x + sin ² x =

Answer 13

1

Question 14

sin2x =

Answer 14

2sinxcosx

Question 15

cos ²x - sin ²x =

Answer 15

cos2x

Question 16

2cos ²x - 1 =

Answer 16

cos2x

Question 17

1 - 2sin ²x =

Answer 17

cos2x

Question 18

arc length

Answer 18

r Θ

Question 19

area of sector

Answer 19

1/2 r² Θ

Question 20

radians to degrees

Answer 20

x x 180
————
pi

Question 21

degrees to radians

Answer 21

x x pi
————
180

Question 22

volume of a cone

Answer 22

1/3 pi r ² h

Question 23

curved surface area of cone

Answer 23

pi r l

Question 24

volume of pyramid

Answer 24

1/3 x base area x height

Question 25

SA of sphere

Answer 25

4 pi r ²

Question 26

volume of sphere

Answer 26

4/3 x pi x r cubed

Question 27

volume of cylinder

Answer 27

pi r ² h

Question 28

curved SA of cylinder

Answer 28

2 pi r h

Question 29

longest diagonal of cuboid

Answer 29

(all square roofed)

length ² + width ² + height ²

Question 30

gradient of a straight line

Answer 30

y2 - y1
——————
x2 - x1

Question 31

distance of a straight line

Answer 31

(all square rooted)

(x2-x1) ² + (y2-y1) ²

Question 32

midpoint of a line

Answer 32

x1 + x2 y1 + y2
(———— ) , (————)
2 2

Question 33

volume of a right pyramid

Answer 33

1/3 x base area x height

Question 34

cosine rule

Answer 34

a ² = b ² + c ² - 2bc cosA

Question 35

area of a triangle

Answer 35

1/2 a b sinC

Question 36

cosA =

Answer 36

b ² + c ² - a ²
———————
2bc