Page:Elements of the Differential and Integral Calculus - Granville - Revised.djvu/28

4. Natural Values of the trigonometric functions.

Angle in Radians	Angle in Degrees	Sin	Cos	Tan	Cot	Sec	Csc
$\scriptstyle {0}$	0°	$\scriptstyle {0}$	$\scriptstyle {1}$	$\scriptstyle {0}$	$\scriptstyle {\infty }$	$\scriptstyle {1}$	$\scriptstyle {\infty }$
$\scriptstyle {\frac {\pi }{2}}$	90°	$\scriptstyle {1}$	$\scriptstyle {0}$	$\scriptstyle {\infty }$	$\scriptstyle {0}$	$\scriptstyle {\infty }$	$\scriptstyle {1}$
$\scriptstyle {\pi }$	180°	$\scriptstyle {0}$	$\scriptstyle {-1}$	$\scriptstyle {0}$	$\scriptstyle {\infty }$	$\scriptstyle {-1}$	$\scriptstyle {\infty }$
$\scriptstyle {\frac {3\pi }{2}}$	270°	$\scriptstyle {-1}$	$\scriptstyle {0}$	$\scriptstyle {\infty }$	$\scriptstyle {0}$	$\scriptstyle {\infty }$	$\scriptstyle {-1}$
$\scriptstyle {2\pi }$	360°	$\scriptstyle {0}$	$\scriptstyle {1}$	$\scriptstyle {0}$	$\scriptstyle {\infty }$	$\scriptstyle {1}$	$\scriptstyle {\infty }$

 

Angle in Radians	Angle in Degrees	Sin	Cos	Tan	Cot	Sec	Csc
$\scriptstyle {0}$	0°	$\scriptstyle {0}$	$\scriptstyle {1}$	$\scriptstyle {0}$	$\scriptstyle {\infty }$	$\scriptstyle {1}$	$\scriptstyle {\infty }$
$\scriptstyle {\frac {\pi }{6}}$	30°	$\scriptstyle {\frac {1}{2}}$	$\scriptstyle {\frac {\sqrt {3}}{2}}$	$\scriptstyle {\frac {\sqrt {3}}{3}}$	$\scriptstyle {\sqrt {3}}$	$\scriptstyle {\frac {2{\sqrt {3}}}{3}}$	$\scriptstyle {2}$
$\scriptstyle {\frac {\pi }{4}}$	45°	$\scriptstyle {\frac {\sqrt {2}}{2}}$	$\scriptstyle {\frac {\sqrt {2}}{2}}$	$\scriptstyle {1}$	$\scriptstyle {1}$	$\scriptstyle {\sqrt {2}}$	$\scriptstyle {\sqrt {2}}$
$\scriptstyle {\frac {\pi }{3}}$	60°	$\scriptstyle {\frac {\sqrt {3}}{2}}$	$\scriptstyle {\frac {1}{2}}$	$\scriptstyle {\sqrt {3}}$	$\scriptstyle {\frac {\sqrt {3}}{3}}$	$\scriptstyle {2}$	$\scriptstyle {\frac {2{\sqrt {3}}}{3}}$
$\scriptstyle {\frac {\pi }{2}}$	90°	$\scriptstyle {1}$	$\scriptstyle {0}$	$\scriptstyle {\infty }$	$\scriptstyle {0}$	$\scriptstyle {\infty }$	$\scriptstyle {1}$

 

Angle in Radians	Angle in Degrees	Sin	Cos	Tan	Cot
.0000	0°	.0000	1.0000	.0000	$\scriptstyle {\infty }$	90°	1.5708
.0175	1°	.0175	.9998	.0175	57.290	89°	1.5533
.0349	2°	.0349	.9994	.0349	28.636	88°	1.5359
.0524	3°	.0523	.9986	.0524	19.081	87°	1.5184
.0698	4°	.0698	.9976	.0699	14.300	86°	1.5010
.0873	5°	.0872	.9962	.0875	11.430	85°	1.4835
.1745	10°	.1736	.9848	.1763	5.671	80°	1.3963
.2618	15°	.2588	.9659	.2679	3.732	75°	1.3090
.3491	20°	.3420	.9397	.3640	2.747	70°	1.2217
.4363	25°	.4226	.9063	.4663	2.145	65°	1.1345
.5236	30°	.5000	.8660	.5774	1.732	60°	1.0472
.6109	35°	.5736	.8192	.7002	1.428	55°	.9599
.6981	40°	.6428	.7660	.8391	1.192	50°	.8727
.7854	45°	.7071	.7071	1.0000	1.000	45°	.7854
		Cos	Sin	Cot	Tan	Angle in Degrees	Angle in Radians