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100 POINTS AND BRAINLY

100 POINTS AND BRAINLY class=

Sagot :

Answer:

  • Given and Explained Below.

Explanation:

  • [tex]\sf sin(x)= \dfrac{opposite}{hypotensue}[/tex]
  • [tex]\sf cos(x)= \dfrac{adjacent}{hypotensue}[/tex]
  • [tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]

using the formula's:

[tex]\sf sin(T)= \dfrac{t}{v}[/tex]

[tex]\sf cos(T)= \dfrac{u}{v}[/tex]

[tex]\sf cos(U)= \dfrac{t}{v}[/tex]

[tex]\sf sin(U)= \dfrac{u}{v}[/tex]

Answer:

 [tex]\mathsf{\sin T=\dfrac{t}{v} \ \ \ \cos T=\dfrac{u}{v}}\\\\\mathsf{\cos U=\dfrac{t}{v} \ \ \ \sin U=\dfrac{u}{v}}[/tex]

Step-by-step explanation:

Trig ratios:

[tex]\mathsf{\sin(\theta)=\dfrac{O}{H} \ \ \ \cos(\theta)=\dfrac{A}{H} \ \ \ \tan(\theta)=\dfrac{O}{A}}[/tex]

(where [tex]\theta[/tex] is the angle, O is the side opposite the angle, A is the side adjacent the angle and H is the hypotenuse of a right triangle)

[tex]\mathsf{\sin T=\dfrac{t}{v} \ \ \ \cos T=\dfrac{u}{v}}\\\\\mathsf{\cos U=\dfrac{t}{v} \ \ \ \sin U=\dfrac{u}{v}}[/tex]