Question

What is the relation between the trigonometric ratios tan(R) and tan(J)? Please answer ASAP!

Answer 1

Step-by-step explanation:

∆PQR similar to ∆ JKL

JK/KL= PQ/QR

6/12=3/QR

QR=3×2= 6

therefore, tan(R) = PQ/QR = 3/6=1/2

and, tan(J) = KL/JK =12/6=2

$\frac{ \tan(R) }{ \tan(J) } = \frac{ \frac{1}{2} }{2}$

$\frac{ \tan(R) }{ \tan(J) } = \frac{1}{4}$

tan(J)=4.tan(R)

option D