Question

State the sign of tan 630'.​

Answer 1

Step-by-step explanation:

Rewrite

tan

(

630

)

tan(630) in terms of sines and cosines.

sin

(

630

)

cos

(

630

)

sin(630)cos(630)

Remove full rotations of

360

360° until the angle is between

0

0° and

360

360°.

sin

(

630

)

cos

(

270

)

sin(630)cos(270)

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant. Make the expression negative because cosine is negative in the third quadrant.

sin

(

630

)

−

cos

(

90

)

sin(630)-cos(90)

The exact value of

cos

(

90

)

cos(90) is

0

0.

sin

(

630

)

−

0

sin(630)-0

Multiply

−

1

-1 by

0

0.

sin

(

630

)

0

sin(630)0

The expression contains a division by

0

0 The expression is undefined.

Undefined

t

a

n

(

6

3

0

)

tan⁡(630)

Answer 2

The sign of $tan\ 630\textdegree$  is  no sign because  the value of $tan\ 630\textdegree$  is undefined ( - $\infty$ ).

Step-by-step explanation:

Given:

$tan\ 630\textdegree$.

To Find:

The sign of $tan\ 630\textdegree$.

Formula Used:

$tan90\textdegree$ =  $\infty$ = Undefined

Solution:

As given- $tan\ 630\textdegree$

$tan630\textdegree = tan ( 720\textdegree - 90\textdegree)\\ = tan( 4\pi -\frac{\pi }{2} )\\ = - tan(\frac{\pi }{2} )\\ = - tan 90\textdegree$(Putting the value of $tan90\textdegree$ = $\infty$ = Undefined)

$=- \infty$ = Undefined.

Thus ,the sign of   is  no sign because  the value of $tan\ 630\textdegree$  is undefined (- $\infty$).

Correct Question

State the sign of $tan\ 630\textdegree$ .