Question

100 POINTS AND BRAINLY

Answer 1

Answer:

 $\mathsf{\sin T=\dfrac{t}{v} \ \ \ \cos T=\dfrac{u}{v}}\\\\\mathsf{\cos U=\dfrac{t}{v} \ \ \ \sin U=\dfrac{u}{v}}$

Step-by-step explanation:

Trig ratios:

$\mathsf{\sin(\theta)=\dfrac{O}{H} \ \ \ \cos(\theta)=\dfrac{A}{H} \ \ \ \tan(\theta)=\dfrac{O}{A}}$

(where $\theta$ 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)

$\mathsf{\sin T=\dfrac{t}{v} \ \ \ \cos T=\dfrac{u}{v}}\\\\\mathsf{\cos U=\dfrac{t}{v} \ \ \ \sin U=\dfrac{u}{v}}$

Answer 2

Answer:

• Given and Explained Below.

Explanation:

• $\sf sin(x)= \dfrac{opposite}{hypotensue}$

• $\sf cos(x)= \dfrac{adjacent}{hypotensue}$

• $\sf tan(x)= \dfrac{opposite}{adjacent}$

using the formula's:

$\sf sin(T)= \dfrac{t}{v}$

$\sf cos(T)= \dfrac{u}{v}$

$\sf cos(U)= \dfrac{t}{v}$

$\sf sin(U)= \dfrac{u}{v}$