Trigonometric functions

In right triangle is:

 tg α=21\text{ tg} \ \alpha = \dfrac{ 2} 1

Determine the value of s and c:

 sin α=s5\text{ sin } \alpha = \dfrac{ s} { \sqrt{ 5 }}

 cos α=c5\text{ cos } \alpha = \dfrac{ c} { \sqrt{ 5 }}

Correct result:

s =  2
c =  1


 tg α=21=ab  sin α=ac=aa2+b2=25\text{ tg} \ \alpha = \dfrac{ 2} { 1} = \dfrac{ a }{ b } \ \\ \text{ sin} \ \alpha = \dfrac{ a} {c} = \dfrac{ a} { \sqrt{ a^2+b^2}} = \dfrac{ 2 } { \sqrt{ 5 }}
 cos α=bc=ba2+b2=15\text{ cos} \ \alpha = \dfrac{ b} {c} = \dfrac{ b} { \sqrt{ a^2+b^2}} = \dfrac{ 1 } { \sqrt{ 5 }}

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Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

We encourage you to watch this tutorial video on this math problem: video1   video2

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