# Trigonometric functions

In right triangle is:

$\text{ tg} \ \alpha = \dfrac{ 2} 1$

Determine the value of s and c:

$\text{ sin } \alpha = \dfrac{ s} { \sqrt{ 5 }}$

$\text{ cos } \alpha = \dfrac{ c} { \sqrt{ 5 }}$

Correct result:

s =  2
c =  1

#### Solution:

$\text{ tg} \ \alpha = \dfrac{ 2} { 1} = \dfrac{ a }{ b } \ \\ \text{ sin} \ \alpha = \dfrac{ a} {c} = \dfrac{ a} { \sqrt{ a^2+b^2}} = \dfrac{ 2 } { \sqrt{ 5 }}$
$\text{ cos} \ \alpha = \dfrac{ b} {c} = \dfrac{ b} { \sqrt{ a^2+b^2}} = \dfrac{ 1 } { \sqrt{ 5 }}$ We would be very happy if you find an error in the example, spelling mistakes, or inaccuracies, and please send it to us. We thank you! Tips to related online calculators
Pythagorean theorem is the base for the right triangle calculator.

#### You need to know the following knowledge to solve this word math problem:

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