|
X |
00 |
300 |
450 |
600 |
900 |
1800 |
2700 |
|
Sin x |
0 |
½ |
1 / √2 |
√3 / 2 |
1 |
0 |
-1 |
|
Cos x |
1 |
√3 / 2 |
1 / √2 |
½ |
0 |
-1 |
0 |
|
Tan x |
0 |
1 / √3 |
1 |
√3 |
Not defined |
0 |
Not defined |
|
Cot x |
Not defined |
√3 |
1 |
1 / √3 |
0 |
Not defined |
0 |
|
Sec x |
1 |
2 / √3 |
√2 |
2 |
Not defined |
-1 |
Not defined |
|
Cosec x |
Not defined |
2 |
√2 |
2 / √3 |
1 |
Not defined |
-1 |
We can also write the value of sin 300 as ∏ / 6 and sin 450 as ∏ / 4, sin 600 = ∏ / 3,
cos 300 = ∏ / 6, cos 450 = ∏ / 4, cos 600 = ∏ / 3,
tan 300 = ∏ / 6, tan 450 = ∏ / 4,
Fundamental relation is also useful to solve the Trigonometric Functions directly:
|
Fundamental relation |
|
|
sin p = 1 / cosec p, |
cos p = 1 / sec p, |
|
tan x = sin x / cos x, |
cot x = cos x / sin x |
|
sec x = 1 / cos x |
cosec x = 1 / sec x |