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In the right triangle below, sin X= 3/5. This is the same as the cosine of which angle? Explain why this is true.

In the right triangle below sin X 35 This is the same as the cosine of which angle Explain why this is true class=

Respuesta :

semsee45

Answer:

sin(X)=cos(Z)

Step-by-step explanation:

trig ratio sin(x) = O/H

(where O = side opposite the angle and H = hypotenuse)

Therefore, if angle = X, O = 27 and H = 45

 [tex]\implies sin(X)=\dfrac{27}{45}\\\\\implies sin(X)=\dfrac35[/tex]

trig ratio cos(x) = A/H

(where A = side adjacent to the angle and H = hypotenuse)

So if A = 27 and H = 45 then

[tex]cos(Z)=\dfrac{27}{45}\\\\\implies cos(Z)=\dfrac{3}{5}[/tex]

Therefore, [tex]sin(X)=cos(Z)[/tex]