Question

Find the value of cosec 1320⁰

Answer 1

Answer:

Remove full rotations of

360

° until the angle is between

0

° and

360

°.

csc

(

240

)

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 third quadrant.

−

csc

(

60

)

The exact value of

csc

(

60

)

is

2

√

3

.

−

2

√

3

Multiply

2

√

3

by

√

3

√

3

.

−

(

2

√

3

⋅

√

3

√

3

)

Combine and simplify the denominator.

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−

2

√

3

3

The result can be shown in multiple forms.

Exact Form:

−

2

√

3

3

Decimal Form:

−

1.15470053

…