Further Maths Flashcards
1
Q
3²+4²=
A
5²
2
Q
5²+12²=
A
13²
3
Q
8²+15²=
A
17²
4
Q
7²+24²=
A
25²
5
Q
Pythagorean triples
A
- 3,4,5
- 5,12,13
- 8,15,17
- 7,24,25
6
Q
Quadratic sequences
A
nth term = an²+bn+c
7
Q
At a turning point, the gradient is…
A
zero, dy/dx=0
8
Q
What type of gradient does an increasing function have?
A
positive, dy/dx>0
9
Q
What type of gradient does a decreasing function have?
A
negative, dy/dx<0
10
Q
How do we know if a turning point is maximum or minimum?
A
d²y/dx² >0 = minimum
d²y/dx² <0 = maximum
11
Q
sin 0°
A
0
12
Q
sin 30°
A
1/2
13
Q
sin 45°
A
√2/2
14
Q
sin 60°
A
√3/2
15
Q
sin 90°
A
1
16
Q
cos 0°
A
1
17
Q
cos 30°
A
√3/2
18
Q
cos 45°
A
√2/2
19
Q
cos 60°
A
1/2
20
Q
cos 90°
A
0
21
Q
tan 0°
A
0
22
Q
tan 30°
A
√3/3
23
Q
tan 45°
A
1
24
Q
tan 60°
A
√3
25
tan 90°
undefined
26
Sine graphs
x
180-x
x-360
(180-x)-360
27
Cos graphs
x
360-x
-x
x-360
28
Tan graphs
x-180
x
x+180
x+360
29
exponential growth
y=a^x where a>1
30
exponential decay
y=a^-x where a>1
