"त्रिकोणमितीय फलन": अवतरणों में अंतर

पंक्ति 18:
:<math>\tan A = \frac {\textrm{opposite}} {\textrm{adjacent}} = \frac {a} {b}.</math>
 
==कुछ विशिष्ट कोणों के त्रिकोणमित्तिय फलनों के मान==
 
{| class="wikitable" style="text-align: center;"
{| border="1" cellpadding="4" cellspacing="3" STYLE="page-break-before: always"
! फलन
! कोण
! <math>0 \frac{\pi }{3}(0^\circ)</math>
! 0°
! <math>0\frac{\pi}{12} \ (15^\circ)</math>
! <math>\frac{\pi }{26} \ (30^\circ)</math>
! 30°
! <math>\frac{\pi }{64} \ (45^\circ)</math>
! <math>\frac{\pi}{3} \ (60^\circ)</math>
! 45°
! <math>\frac{5\pi }{412} \ (75^\circ)</math>
!<math>\frac{\pi}{2} \ (90^\circ)</math>
! 60°
<math>\frac{\pi }{3}</math>
! 90°
<math>\frac{\pi }{2}</math>
|-
| ज्या (Sinsin)
| <math>\sqrt{\frac{0}{4}}</math>
| <math>\frac{ \sqrt{6} - \fracsqrt{12} } {4}}</math>
| <math>\sqrt{\frac{21}{4}2}</math>
| <math>\sqrtfrac{\fracsqrt{32}{4}{2}</math>
| <math>\sqrtfrac{\fracsqrt{43}{4}{2}</math>
| <math>\frac{ \sqrt{6} + \sqrt{2} } {4}</math>
| <math>1</math>
|-
| कोज्या (Coscos)
| <math>\sqrt{\frac{4}{4}}1</math>
| <math>\frac{\sqrt{6}+\fracsqrt{32}}{4}}</math>
| <math>\sqrtfrac{\fracsqrt{23}{4}{2}</math>
| <math>\sqrtfrac{\fracsqrt{12}{4}{2}</math>
| <math>\sqrt{\frac{01}{4}2}</math>
| <math>\frac{ \sqrt{6} - \sqrt{2}} {4}</math>
| <math>0</math>
|-
| स्पज्या (Tantan)
| <math>\sqrt{\frac{0}{4}}</math>
| <math>2-\sqrt{\frac{1}{3}}</math>
| <math>\sqrtfrac{\fracsqrt{23}{2}{3}</math>
| <math>\sqrt{\frac{3}{1}}</math>
| <math>\sqrt{\frac{4}{0}3}</math>
| <math>2+\sqrt{3}</math>
| <math>\infty</math><ref name="Abramowitz and Stegun">Abramowitz, Milton and Irene A. Stegun, p.74</ref>
|-
| cot
| <math>\infty</math><ref name="Abramowitz and Stegun"/>
| <math>2+\sqrt{3}</math>
| <math>\sqrt{3}</math>
| <math>1</math>
| <math>\frac{\sqrt{3}}{3}</math>
| <math>2-\sqrt{3}</math>
| <math>0</math>
|-
| sec
| <math>1</math>
| <math>\sqrt{6} - \sqrt{2}</math>
| <math>\frac{2\sqrt{3}}{3}</math>
| <math>\sqrt{2}</math>
| <math>2</math>
| <math>\sqrt{6}+\sqrt{2}</math>
| <math>\infty</math><ref name="Abramowitz and Stegun"/>
|-
| csc
| <math>\infty</math><ref name="Abramowitz and Stegun"/>
| <math>\sqrt{6}+\sqrt{2}</math>
| <math>2</math>
| <math>\sqrt{2}</math>
| <math>\frac{2\sqrt{3}}{3}</math>
| <math>\sqrt{6} - \sqrt{2}</math>
| <math>1</math>
|}