Question

find the value of the trigonometric functions of cosec (-1200)

Answer 1

Hey mate here is ur answer *****
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cosec(-1200)

=-cosec(90°×13+30°)

=-sec30°

=-2/√3[Ans.]

Hope it will help u@@####

Answer 2

The value of the trigonometric function would be -2/√3

Given

• trigonometric function
• cosec (-1200)

To find

• the value of the trigonometric functions

Solution

we are provided with trigonometric function of cosecx and are asked to estimate the value of the trigonometric function at a particular angle.

previous knowledge

we know that cosecx function repeats after an angle of 180 degree.ie,

cosec(180n + y) = cosec(y)

where n is 0,1,2..

and cosec(90 + x) = -secx

the given trigonometric function,

cosec (-1200)

or, -cosec( 1080 + 120)

or, - cosec( 6× 180 + 120)

or, - cosec( 120)

or, - cosec( 90 + 30)

or, - sec30

or, -2/√3

or, -1.15 (approx.)

Therefore, the value of the trigonometric function would be -2/√3

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