Question

Calcular las funciones trigonométricas de los ángulos agudos de los siguientes triángulos rectángulos

Answer 1

Respuesta:

1)

sen A = 3/5

cos A = 4/5

tan A = 3/4

cot A = 4/3

sec A = 5/4

csc A = 5/3

---------------

sen B = 4/5

cos B = 3/5

tan B = 4/3

cot B = 3/4

sec B = 5/3

csc B = 5/4

2)

sen X = 3/5

cos X = 4/5

tan X = 3/4

cot X = 4/3

sec X = 5/4

csc X = 5/3

---------------

sen Y = 4/5

cos Y = 3/5

tan Y = 4/3

cot Y = 3/4

sec Y = 5/3

csc Y = 5/4

3)

sen P = 12/13

cos P = 5/13

tan P = 12/5

cot P = 5/12

sec P = 13/5

csc P = 13/12

--------------

sen Q = 5/13

cos Q = 12/13

tan Q = 5/12

cot Q = 12/5

sec Q = 13/12

csc Q = 13/5

4)

sen A = 24/25

cos A = 7/25

tan A = 24/7

cot A = 7/24

sec A = 25/7

csc A = 25/24

-------------

sen B = 7/25

cos B = 24/25

tan B = 7/24

cot B = 24/7

sec B = 25/24

csc B = 25/7

Explicación paso a paso:

6² + 8² = 10²

6/10 = 3/5

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9² + 12² = 15²

9/15 = 3/5