Tirigonometrik tuxxiq cisab - sissikuk cisaabis zambi, kos, taan, csc, sec, cot tuxxiq caddo dudda le suuquntal silac |

1. rakiibô tirigonometirih abnitte

sinih abto (sin)： \( \sin(\theta) = \frac{\text{Sadi tattab}}{\text{haypotenuus}} \)
kosayin abto (cos)： \( \cos(\theta) = \frac{\text{cuggaane}}{\text{haypotenuus}} \)
tangenti abto (tan)： \( \tan(\theta) = \frac{\text{Sadi tattab}}{\text{cuggaane}} = \frac{\sin(\theta)}{\cos(\theta)} \)
kosekantih abto (csc)： \( \csc(\theta) = \frac{1}{\sin(\theta)} \)
sekantih abto (sec)： \( \sec(\theta) = \frac{1}{\cos(\theta)} \)
kotangenti abto (cot)： \( \cot(\theta) = \frac{1}{\tan(\theta)} = \frac{\cos(\theta)}{\sin(\theta)} \)

cisab siini： \( \csc(\theta) = \frac{1}{\sin(\theta)} \)
cisab kosayin： \( \sec(\theta) = \frac{1}{\cos(\theta)} \)
cisab xagar dig： \( \cot(\theta) = \frac{1}{\tan(\theta)} = \frac{\cos(\theta)}{\sin(\theta)} \)

Sine kee kosin affaraamoh fantaaxaw： \( \sin^2(\theta) + \cos^2(\theta) = 1 \)
tangenti kee kosekantih fantaaxaw： \( 1 + \tan^2(\theta) = \sec^2(\theta) \)
Kotangentii kee kosekantih fantaaxaw： \( 1 + \cot^2(\theta) = \csc^2(\theta) \)

Sines maknayih ossotina： \( \sin(a \pm b) = \sin(a)\cos(b) \pm \cos(a)\sin(b) \)
kosin ossotina sissinaaneh maknay： \( \cos(a \pm b) = \cos(a)\cos(b) \mp \sin(a)\sin(b) \)
tangenti kee baxsa le maknay： \( \tan(a \pm b) = \frac{\tan(a) \pm \tan(b)}{1 \mp \tan(a)\tan(b)} \)

Sine murtisso kee baxsa le migda： \( \sin(a)\sin(b) = \frac{1}{2}[\cos(a-b) - \cos(a+b)] \)
Kosin murtisso kee sissinaane maknay： \( \cos(a)\cos(b) = \frac{1}{2}[\cos(a-b) + \cos(a+b)] \)
tangent murtisso kee baxsa le maknay： \( \tan(a)\tan(b) = \frac{\sin(a)\sin(b)}{\cos(a)\cos(b)} \)

Sine kee baxsa le murtissoh maknay： \( \sin(a \pm b) = \sin(a)\cos(b) \pm \cos(a)\sin(b) \)
Kosayin kee baxsale murtissoh maknay： \( \cos(a \pm b) = \cos(a)\cos(b) \mp \sin(a)\sin(b) \)
tangenti kee baxsa le murtissoh maknay： \( \tan(a \pm b) = \frac{\tan(a) \pm \tan(b)}{1 \mp \tan(a)\tan(b)} \)

sine gonah maknay： \( \sin(2\theta) = 2\sin(\theta)\cos(\theta) \)
kosin mango gonah maknay： \( \cos(2\theta) = \cos^2(\theta) - \sin^2(\theta) = 2\cos^2(\theta) - 1 = 1 - 2\sin^2(\theta) \)
xagar dig gonah maknay： \( \tan(2\theta) = \frac{2\tan(\theta)}{1 - \tan^2(\theta)} \)

Sine garab gonah maknay： \( \sin\left(\frac{\theta}{2}\right) = \pm \sqrt{\frac{1 - \cos(\theta)}{2}} \)
kosin garab gonah maknay： \( \cos\left(\frac{\theta}{2}\right) = \pm \sqrt{\frac{1 + \cos(\theta)}{2}} \)
tangenti garab gonah maknay： \( \tan\left(\frac{\theta}{2}\right) = \frac{1 - \cos(\theta)}{\sin(\theta)} = \frac{\sin(\theta)}{1 + \cos(\theta)} \)

9. baxsa le gonah caddo

gonà	sin(θ)	cos(θ)	tan(θ)	csc(θ)	sec(θ)	cot(θ)
30°	\( \frac{1}{2} \)	\( \frac{\sqrt{3}}{2} \)	\( \frac{1}{\sqrt{3}} \)	\( 2 \)	\( \frac{2}{\sqrt{3}} \)	\( \sqrt{3} \)
45°	\( \frac{\sqrt{2}}{2} \)	\( \frac{\sqrt{2}}{2} \)	1	\( \sqrt{2} \)	\( \sqrt{2} \)	1
60°	\( \frac{\sqrt{3}}{2} \)	\( \frac{1}{2} \)	\( \sqrt{3} \)	\( \frac{2}{\sqrt{3}} \)	2	\( \frac{1}{\sqrt{3}} \)
90°	1	0	\( \infty \)	1	\( \infty \)	0