Question

Help me asap i need to do tangent ratio !!!

Answer 1

QUESTION 1

The tangent ratio is the ratio of the length of the opposite side of the length of the adjacent side.

From ΔVWX,

$\tan(X)=\frac{VW}{WX}$

From ΔYZX,

$\tan(X)=\frac{YZ}{XZ}$

$\therefore \tan(X)=\frac{VW}{WX}=\frac{YZ}{XZ}$

QUESTION 2

We use the tangent ratio to obtain;

$\tan(V)=\frac{Opposite}{Adacent}$

$\tan(V)=\frac{WX}{VW}$

QUESTION 3

From ΔVWX,

$\tan(X)=\frac{VW}{WX}$

We take the inverse tangent of both sides to obtain;

$X=\tan^{-1}(\frac{VW}{WX})$

$\therefore \tan^{-1}(\frac{VW}{WX})=X$

QUESTION 4

From ΔVWX,

$\tan(V)=\frac{WX}{VW}$

Taking the inverse tangent of both sides, we obtain;

$V=\tan^{-1}(\frac{WX}{VW})$

$\therefore \tan^{-1}(\frac{WX}{VW})=V$

QUESTION 5.

We know that

$\tan(V)=\frac{WX}{VW}$

and

$\tan(X)=\frac{VW}{WX}$

$(\tan X)(\tan V)=(\frac{VW}{WX})(\frac{WX}{VW}=1$

QUESTION 6.

$\tan^{-1}(\frac{VW}{WX})=X$

$\tan^{-1}(\frac{WX}{VW})=V$

This implies that;

$\tan^{-1}(\frac{VW}{WX})+\tan^{-1}(\frac{WX}{VW})=X+V$

QUESTION 7

$\tan 23\degree =0.4244$

We round to the nearest 0.01 to obtain;

$\tan 23\degree =0.42$

QUESTION 8

$\tan 43\degree =0.9325$

We round to the nearest 0.01 to obtain;

$\tan 43\degree =0.92$

QUESTION 9

$\tan ^{-1} 0.14=7.9696\degree$

We round to the nearest 0.01 to obtain.

$\tan ^{-1} 0.14=7.97\degree$

QUESTION 10

$\tan ^{-1} 1=45.00\degree$

QUESTION 11

$\tan ^{-1} 0.14=7.97\degree$

This implies that;

$\tan 7.97\degree=0.14$

QUESTION 12

$\tan ^{-1} 1=45.00\degree$

This implies that;

$\tan 45.00\degree=1$