Question

Find value of cosec(-19pi/3)

Answer 1

Answer:

cosec(-19π/3) = cosec (19π/3)

= - cosec {(19×18/3) }

= - cosec (19×60)

= - cosec (1140)

= - cosec (360×3+6)

= - cosec (60)

-2/√3

Hence proved..........!

Step-by-step explanation:

it will helps u......

Answer 2

Answer:

The value of $cosec(-19\pi/3)$will be$-2/\sqrt{3}$.

Step-by-step explanation:

Given: $cosec(-19\pi/3)$

We have to find the value of$cosec(-19\pi/3)$.

• As we know, a trigonometric function in a right-angled triangle is the ratio of the length of the hypotenuse to that of the opposite side.
• The reciprocal of sine is cosec.

We are solving in the following way:

We have,

$cosec(-19\pi/3)$

We know that

cosec(-θ) = -cosec θ  

[Where θ = acute angle]

Now, cosec(-19π/3) = -cosec(19π/3)

$= -cosec{(19 \times 180)/3}$

$= -cosec(19 \times 60)\\ = -cosec(1140) \\ = -cosec(360 \times 3 + 60)\\ = -cosec(60)\\= -2/\sqrt{3}$

Hence, $cosec(-19\pi/3) = -2/\sqrt{3}$