# Trigonometry ( bridging the gap ) - Exact values Flashcards

1
Q

CAST
Sin

A

sin ( 180 - x ) = sin x
sin (180 + x ) = - sin x
sin ( 360 - x) = - sin x

2
Q

CAST
cos

A

cos ( 180 - x ) = - cos x
cos (180 + x ) = - cos x
cos ( 360 - x) = cos x

3
Q

CAST
tan

A

tan ( 180 - x ) = - tan x
tan (180 + x ) = tan x
tan ( 360 - x) = - tan x

4
Q

right angled triangle are considered ..

A

to complementary
q
sinx = - = cos ( 90 - x ) and
r

```         q cosx =    -   = sin ( 90 - x )
r```
5
Q

Exact values for sin 30 ..

A

1
-
2

6
Q

Exact values for sin 45…

A

1
-
√ 2

7
Q

Exact values for sin 60 …

A

√3
-
2

8
Q

Exact values for cos 30 ..

A

√3
-
2

9
Q

Exact values for cos 45…

A

1
-
√ 2

10
Q

Exact values for cos 60 …

A

1
-
2

11
Q

Exact values for tan 30 ..

A

1
-
√ 3

12
Q

Exact values for tan 45…

A

1

13
Q

Exact values for tan 60 …

A

√ 3

14
Q

Exact values for sin 90 …

A

1

15
Q

Exact values for cos 90 …

A

0

16
Q

Exact values for tan 90 …

A

undefined

17
Q

Exact values for cos 0 …

A

1

18
Q

Exact values for tan 0 …

A

0

19
Q

Exact values for sin 0 …

A

0

20
Q

A

_____ ÷180

then X π

21
Q

A

____÷ π

then x 180

22
Q

y = 2sin(4x + 45) + 1

find period?

A

Period = 360 ÷4 = 90

23
Q

y = 2sin(4x + 45) + 1

find maximum?

A

Max. Value =2+1= 3

24
Q

y = 2sin(4x + 45) + 1

find minimum?

A

Mini. Value = -2+1 -1

25
Q

y = 2sin(4x + 45) + 1

find amplitude?

A

Amplitude = 2

26
Q

How to solve:

sin 2x - cos x

A

substiture 2 sinx cox for sin 2x

27
Q

The angle subtended at the center of a circle by an arc equal in length to the radius is …

A

the angle subtended at the center of a circle by an arc equal in length to the radius is 1 radian

28
Q

what does a y = cos x graph look like?

A

draw on a sheet

29
Q

what does a y = sin x graph look like

A

draw on a sheet

30
Q