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)=(VW)/(WX)`

From ΔYZX,

`\tan(X)=(YZ)/(XZ)`

`\therefore \tan(X)=(VW)/(WX)=(YZ)/(XZ)`

QUESTION 2

We use the tangent ratio to obtain;

`\tan(V)=(Opposite)/(Adacent)`

`\tan(V)=(WX)/(VW)`

QUESTION 3

From ΔVWX,

`\tan(X)=(VW)/(WX)`

We take the inverse tangent of both sides to obtain;

`X=\tan^(-1)((VW)/(WX))`

`\therefore \tan^(-1)((VW)/(WX))=X`

QUESTION 4

From ΔVWX,

`\tan(V)=(WX)/(VW)`

Taking the inverse tangent of both sides, we obtain;

`V=\tan^(-1)((WX)/(VW))`

`\therefore \tan^(-1)((WX)/(VW))=V`

QUESTION 5.

We know that

`\tan(V)=(WX)/(VW)`

and

`\tan(X)=(VW)/(WX)`

`(\tan X)(\tan V)=((VW)/(WX))((WX)/(VW)=1`

QUESTION 6.

`\tan^(-1)((VW)/(WX))=X`

`\tan^(-1)((WX)/(VW))=V`

This implies that;

`\tan^(-1)((VW)/(WX))+\tan^(-1)((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`