Sabiendo que la tangente son 4/3 dime el cos y sen estando el angulo en el tercer cuadrante de la circunferencia

sen α  =  - 4/5

cos α  =  - 3/5

Step-by-step explanation:

tang α  = 4/3

De la relación fundamental de la trigonometría sabemos:

sen² α   +  cos²α  = 1

Dividiendo la ecuación anterior por cos² α

sen²α/cos²α   +  cos²α / cos²α   =  1 / cos² α

tang²α  +  1   = 1/ cos² α

(4/3)²  +  1  =  1/ cos² α    ⇒    16/9   +  1  = 1/ cos² α

1/ cos² α    =  ( 16  +  9  ) / 9

1/ cos² α    =   25/9

cos² α   = 9/25

cos α    =  3/5

y para calcular el sen α  

sen² α   =  1  - cos²α

sen² α   =  1  - 9/25

sen² α   =  ( 25  -  9 )/ 25

sen² α   =  16/25

sen α  = 4 / 5

Ahora bien el angulo α  está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.

Respuesta:

sen α  =  - 4/5

cos α  =  - 3/5

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3