Question

find the values of tan 675°
​

Answer 1

• Step-by-step explanation:

tan

(

675

)

Remove full rotations of

360

° until the angle is between

0

° and

360

°.

tan

(

315

)

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

−

tan

(

45

)

The exact value of

tan

(

45

)

is

1

.

−

1

⋅

1

Multiply

−

1

by

1

.

-1