Question

Cosec(-750°) find the value of this trigonometry

Answer 1

cosec(-750)=-cosec750

=cosec(720+30)

=cosec(360+30)

=cosec30

=2

Answer 2

The value of the given expression would be -2

Given

• cosec(-750)

To find

• the value of this trigonometry expression.

Solution

we are provided with a trigonometric expression and are asked to find the value of it.

It could be understood that the angle provided in the trigonometric function is large and is difficult to estimate the value on it own, therefore we have to reduce the value to the values of trigonometry that we are familiar with,

trigonometric functions do repeat its value after 360 degrees as using this as a hint,

cosec(-750)

or, -cosec(750) (function is odd)

or, -cosec( 720 + 30)

or, -cosec( 2×360 +30)

or, -cosec(30). [the value of trigonometric expression comes in the first quadrant]

or, -2

Therefore, the value of the given expression would be -2