# Sin 45 Cos 30 Cos 45 Sin 30

Sin 45 Cos 30 Cos 45 Sin 30

What is value of sin 30?

and sin 0?

How exercise we recollect them?

Let’s learn how. We volition talk over what are unlike values of

sin, cos, tan, cosec, sec, cot

at

0, xxx, 45, 60 and 90 degrees

and how to memorise them.

And so, we have to fill this tabular array

## How to notice the values?

To learn the table, we should offset know how sin cos tan are related

Nosotros know that

• tan θ = sin θ/cosθ
• sec θ = 1/cos θ
• cosec θ = 1/sin θ
• cot θ = 1/cot θ

Now let u.s.a. discuss unlike values

### For sin

For memorising sin 0°, sin thirty°, sin 45°, sin lx° and sin ninety°

We should larn information engineering similar

1. sin 0° =

0
2. sin thirty° =

i/2
3. sin 45° =

1/√2
4. sin sixty° =

√iii/two
5. sin xc° =

ane

And so, our pattern will be similar

0, 1/2,  one/√ii,  √3/two,  1

### For cos

For memorising cos 0°, cos 30°, cos 45°, cos lx° and cos ninety°

Cos is the opposite of sin.

Nosotros should acquire information technology similar

1. cos 0° = sin xc° =

1
2. cos 30° = sin sixty° = √iii/ii
3. cos 45° = sin 45° =

i/√2
4. cos 60° = sin 30° =

one/2
5. cos 90° = sin 0° =

0

So, for cos, it volition exist like

one, √three/two,  ane/√2,  one/2,  0

### For tan

We know that tan θ = sin θ /cos θ

So, it will be

• tan 0° = sin 0° / cos 0° = 0/1 =

0
• tan 30° = sin thirty° / cos xxx° = (one/2)/ (√3/2) =

1/√3
• tan 45° = sin 45° / cos 45° = (i/√2)/ (ane/√ii) =

one
• tan threescore° = sin sixty° / cos 60° = (√three/2) / (i/ii) =

√3
• tan xc° = sin 90° / cos ninety° = ane/0 = Non Divers =

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So, for tan, it is

0, 1/√3, 1, √three, ∞

### For cosec

Nosotros know that

cosec θ = 1/sin θ

For sin, we know

0, ane/2,  i/√2,  √iii/ii,  i

So, for cosec it volition be

• cosec 0° = 1 / sin 0° = one/0 = Not Defined =

• cosec xxx° = 1 / sin xl° = 1/(one/2) =

ii
• cosec 45° = i / sin 45° = 1/(ane/√ii) =

√2
• cosec lx° = 1 / sin lx° = 1/(√three/2) =

2/√iii
• cosec xc° = i / sin 90° = i/ane =

i

And then, for cosec, it is

∞, 2, √two, 2/√3, 1

### For sec

We know that

sec θ = 1/cos θ

For cos, we know

1, √3/2,  i/√2,  i/2,  0

So, for sec information technology will exist

• sec 0° = one / cos 0° = 1/i =

1
• sec 30° = ane / cos 40° = one/(√3/2) =

2/√3
• sec 45° = 1 / cos 45° = i/(ane/√ii) =

√2
• sec threescore° = i / cos 60° = 1/(i/2) =

2
• sec xc° = one / cos 90° = one/0 = Non Defined =

So, for sec, it is

1, 2/√3, √two,

ii,

### For cot

Nosotros know that

cot θ = ane/tan θ

For tan, we know that

0, one/√three, 1, √3, ∞

Then, for cot information technology will be

• cot 0° = i / tan 0° = one/0 = Non Divers =

• cot xxx° = 1 / tan xxx° = i/(1/√three) =

√iii
• cot 45° = one / tan 45° = i/i =

1
• cot lx° = ane / tan 60° = ane/√3
• cot xc° = i / tan 90° = 1/∞ =

0

So, for cot, information technology is

∞, √3, 1, 1/√3, 0

And and so, our full tabular array looks similar this

Y’all can also practise questions past clicking

Side by side.

## Trigonometry Table

Trigonometry Table has all the values of sin, cos, tan for all angles from 0 to 90 degree.