Question

find the value of cosec 675

Answer 1

Answer:

csc

(

675

)

csc(675)

Remove full rotations of

360

360

° until the angle is between

0

0

° and

360

360

°.

csc

(

315

)

csc(315)

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

−

csc

(

45

)

-csc(45)

The exact value of

csc

(

45

)

csc(45)

is

√

2

2

.

−

√

2

-2

The result can be shown in multiple forms.

Exact Form:

−

√

2

-2

Decimal Form:

−

1.41421356

…

-1.41421356…