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 }}



Result

s =  2
c =  1

Solution:

 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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Pythagorean theorem is the base for the right triangle calculator. See also our trigonometric triangle calculator.

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